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48810202896 = 24371397115201
BaseRepresentation
bin101101011101010100…
…001001011100010000
311122222200000012211110
4231131110021130100
51244430402443041
634231220013320
73345363610350
oct553524113420
9148880005743
1048810202896
11197780a5964
129562531240
1347ab40b580
1425106d8b60
15140a1c2516
hexb5d509710

48810202896 has 160 divisors (see below), whose sum is σ = 156792686848. Its totient is φ = 12740198400.

The previous prime is 48810202879. The next prime is 48810202913. The reversal of 48810202896 is 69820201884.

It is an interprime number because it is at equal distance from previous prime (48810202879) and next prime (48810202913).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366096 + ... + 481296.

Almost surely, 248810202896 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 48810202896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78396343424).

48810202896 is an abundant number, since it is smaller than the sum of its proper divisors (107982483952).

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

48810202896 is a wasteful number, since it uses less digits than its factorization.

48810202896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115329 (or 115323 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 48810202896 in words is "forty-eight billion, eight hundred ten million, two hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 97 104 112 156 168 182 194 208 273 291 312 336 364 388 546 582 624 679 728 776 1092 1164 1261 1358 1456 1552 2037 2184 2328 2522 2716 3783 4074 4368 4656 5044 5432 7566 8148 8827 10088 10864 15132 16296 17654 20176 26481 30264 32592 35308 52962 60528 70616 105924 115201 141232 211848 230402 345603 423696 460804 691206 806407 921608 1382412 1497613 1612814 1843216 2419221 2764824 2995226 3225628 4492839 4838442 5529648 5990452 6451256 8985678 9676884 10483291 11174497 11980904 12902512 17971356 19353768 20966582 22348994 23961808 31449873 33523491 35942712 38707536 41933164 44697988 62899746 67046982 71885424 78221479 83866328 89395976 125799492 134093964 145268461 156442958 167732656 178791952 234664437 251598984 268187928 290536922 312885916 435805383 469328874 503197968 536375856 581073844 625771832 871610766 938657748 1016879227 1162147688 1251543664 1743221532 1877315496 2033758454 2324295376 3050637681 3486443064 3754630992 4067516908 6101275362 6972886128 8135033816 12202550724 16270067632 24405101448 48810202896