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10468933552 = 2471122333587
BaseRepresentation
bin10011011111111111…
…10011111110110000
31000000121010221000201
421233333303332300
5132420021333202
64450453324544
7520300316110
oct115777637660
930017127021
1010468933552
114492492800
122042036754
13caabb604c
1471454d040
1541413b387
hex26fff3fb0

10468933552 has 120 divisors (see below), whose sum is σ = 26588798208. Its totient is φ = 3901349760.

The previous prime is 10468933537. The next prime is 10468933571. The reversal of 10468933552 is 25533986401.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 294903 + ... + 328489.

Almost surely, 210468933552 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 10468933552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13294399104).

10468933552 is an abundant number, since it is smaller than the sum of its proper divisors (16119864656).

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

10468933552 is a wasteful number, since it uses less digits than its factorization.

10468933552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33647 (or 33630 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 10468933552 in words is "ten billion, four hundred sixty-eight million, nine hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 56 77 88 92 112 121 154 161 176 184 242 253 308 322 368 484 506 616 644 847 968 1012 1232 1288 1694 1771 1936 2024 2576 2783 3388 3542 4048 5566 6776 7084 11132 13552 14168 19481 22264 28336 33587 38962 44528 67174 77924 134348 155848 235109 268696 311696 369457 470218 537392 738914 772501 940436 1477828 1545002 1880872 2586199 2955656 3090004 3761744 4064027 5172398 5407507 5911312 6180008 8128054 8497511 10344796 10815014 12360016 16256108 16995022 20689592 21630028 28448189 32512216 33990044 41379184 43260056 56896378 59482577 65024432 67980088 86520112 93472621 113792756 118965154 135960176 186945242 227585512 237930308 373890484 455171024 475860616 654308347 747780968 951721232 1308616694 1495561936 2617233388 5234466776 10468933552