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19795343943168 = 29332336145729
BaseRepresentation
bin1001000000000111101100…
…11100011010011000000000
32121002102020112222121221000
410200003312130122120000
510043311331022140133
6110033504440332000
74112111035160103
oct440036634323000
977072215877830
1019795343943168
116342181657492
122278578774000
13b0790147b361
144c6157a4a73a
15244dc7c99413
hex1200f671a600

19795343943168 has 160 divisors (see below), whose sum is σ = 58847085554400. Its totient is φ = 6570127392768.

The previous prime is 19795343943131. The next prime is 19795343943191. The reversal of 19795343943168 is 86134934359791.

It is a happy number.

19795343943168 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 534 + 39 + 43 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 19795343943096 and 19795343943105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148128 + ... + 6293856.

It is an arithmetic number, because the mean of its divisors is an integer number (367794284715).

Almost surely, 219795343943168 is an apocalyptic number.

19795343943168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19795343943168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29423542777200).

19795343943168 is an abundant number, since it is smaller than the sum of its proper divisors (39051741611232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19795343943168 is an equidigital number, since it uses as much as digits as its factorization.

19795343943168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6145989 (or 6145967 counting only the distinct ones).

The product of its digits is 529079040, while the sum is 72.

The spelling of 19795343943168 in words is "nineteen trillion, seven hundred ninety-five billion, three hundred forty-three million, nine hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 233 256 288 384 432 466 512 576 699 768 864 932 1152 1398 1536 1728 1864 2097 2304 2796 3456 3728 4194 4608 5592 6291 6912 7456 8388 11184 12582 13824 14912 16776 22368 25164 29824 33552 44736 50328 59648 67104 89472 100656 119296 134208 178944 201312 268416 357888 402624 536832 805248 1073664 1610496 3220992 6145729 12291458 18437187 24582916 36874374 49165832 55311561 73748748 98331664 110623122 147497496 165934683 196663328 221246244 294994992 331869366 393326656 442492488 589989984 663738732 786653312 884984976 1179979968 1327477464 1431954857 1573306624 1769969952 2359959936 2654954928 2863909714 3146613248 3539939904 4295864571 4719919872 5309909856 5727819428 7079879808 8591729142 9439839744 10619819712 11455638856 12887593713 14159759616 17183458284 21239639424 22911277712 25775187426 28319519232 34366916568 38662781139 42479278848 45822555424 51550374852 68733833136 77325562278 84958557696 91645110848 103100749704 137467666272 154651124556 183290221696 206201499408 274935332544 309302249112 366580443392 412402998816 549870665088 618604498224 733160886784 824805997632 1099741330176 1237208996448 1649611995264 2199482660352 2474417992896 3299223990528 4948835985792 6598447981056 9897671971584 19795343943168