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681415119768 = 2331912730738327
BaseRepresentation
bin10011110101001111000…
…00011001001110011000
32102010211222202122212110
421322213200121032120
542131014232313033
61241012054512320
7100142046644145
oct11724740311630
92363758678773
10681415119768
11242a94086049
12b00906656a0
134c346005aa6
1424da2d493cc
1512ad26bb363
hex9ea7819398

681415119768 has 128 divisors (see below), whose sum is σ = 1813251686400. Its totient is φ = 212788404864.

The previous prime is 681415119727. The next prime is 681415119769. The reversal of 681415119768 is 867911514186.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681415119769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17759821 + ... + 17798147.

It is an arithmetic number, because the mean of its divisors is an integer number (14166028800).

Almost surely, 2681415119768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681415119768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906625843200).

681415119768 is an abundant number, since it is smaller than the sum of its proper divisors (1131836566632).

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

681415119768 is a wasteful number, since it uses less digits than its factorization.

681415119768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38789 (or 38785 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 57.

The spelling of 681415119768 in words is "six hundred eighty-one billion, four hundred fifteen million, one hundred nineteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 127 152 228 254 307 381 456 508 614 762 921 1016 1228 1524 1842 2413 2456 3048 3684 4826 5833 7239 7368 9652 11666 14478 17499 19304 23332 28956 34998 38327 38989 46664 57912 69996 76654 77978 114981 116967 139992 153308 155956 229962 233934 306616 311912 459924 467868 728213 740791 919848 935736 1456426 1481582 2184639 2222373 2912852 2963164 4369278 4444746 4867529 5825704 5926328 8738556 8889492 9735058 11766389 14602587 17477112 17778984 19470116 23532778 29205174 35299167 38940232 47065556 58410348 70598334 92483051 94131112 116820696 141196668 184966102 223561391 277449153 282393336 369932204 447122782 554898306 670684173 739864408 894245564 1109796612 1341368346 1494331403 1788491128 2219593224 2682736692 2988662806 4482994209 5365473384 5977325612 8965988418 11954651224 17931976836 28392296657 35863953672 56784593314 85176889971 113569186628 170353779942 227138373256 340707559884 681415119768