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10168813824 = 28313278347
BaseRepresentation
bin10010111100001101…
…11100100100000000
3222020200102021011020
421132012330210000
5131311204020244
64401012545440
7506664330351
oct113606744400
928220367136
1010168813824
114349037374
121b79622280
13c60975900
146c6747d28
153e7b06d19
hex25e1bc900

10168813824 has 108 divisors (see below), whose sum is σ = 29306226096. Its totient is φ = 3128825856.

The previous prime is 10168813817. The next prime is 10168813841. The reversal of 10168813824 is 42831886101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90619 + ... + 168965.

Almost surely, 210168813824 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 10168813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14653113048).

10168813824 is an abundant number, since it is smaller than the sum of its proper divisors (19137412272).

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

10168813824 is an equidigital number, since it uses as much as digits as its factorization.

10168813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78392 (or 78365 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The spelling of 10168813824 in words is "ten billion, one hundred sixty-eight million, eight hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 624 676 768 832 1014 1248 1352 1664 2028 2496 2704 3328 4056 4992 5408 8112 9984 10816 16224 21632 32448 43264 64896 78347 129792 156694 235041 313388 470082 626776 940164 1018511 1253552 1880328 2037022 2507104 3055533 3760656 4074044 5014208 6111066 7521312 8148088 10028416 12222132 13240643 15042624 16296176 20056832 24444264 26481286 30085248 32592352 39721929 48888528 52962572 60170496 65184704 79443858 97777056 105925144 130369408 158887716 195554112 211850288 260738816 317775432 391108224 423700576 635550864 782216448 847401152 1271101728 1694802304 2542203456 3389604608 5084406912 10168813824