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10757618379904 = 27112977710929
BaseRepresentation
bin1001110010001011010000…
…0001011010110010000000
31102002102021220212121201211
42130202310001122302000
52402223100301124104
634513552012135504
72160132545332564
oct234426401326200
942072256777654
1010757618379904
11347830a141300
121258a94767594
13600592800886
1429295888d6a4
15139c6c607e04
hex9c8b405ac80

10757618379904 has 96 divisors (see below), whose sum is σ = 23580744749100. Its totient is φ = 4884814725120.

The previous prime is 10757618379887. The next prime is 10757618379913. The reversal of 10757618379904 is 40997381675701.

It can be written as a sum of positive squares in 2 ways, for example, as 7621177379904 + 3136441000000 = 2760648^2 + 1771000^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10757618379904.

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, 14776312 + ... + 15487240.

Almost surely, 210757618379904 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 10757618379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790372374550).

10757618379904 is an abundant number, since it is smaller than the sum of its proper divisors (12823126369196).

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

10757618379904 is an equidigital number, since it uses as much as digits as its factorization.

10757618379904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711942 (or 711919 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 67.

The spelling of 10757618379904 in words is "ten trillion, seven hundred fifty-seven billion, six hundred eighteen million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 977 1408 1936 1954 3872 3908 7744 7816 10747 15488 15632 21494 31264 42988 62528 85976 118217 125056 171952 236434 343904 472868 687808 710929 945736 1375616 1421858 1891472 2843716 3782944 5687432 7565888 7820219 11374864 15131776 15640438 22749728 31280876 45499456 62561752 86022409 90998912 125123504 172044818 250247008 344089636 500494016 688179272 694577633 1000988032 1376358544 1389155266 2752717088 2778310532 5505434176 5556621064 7640353963 11010868352 11113242128 15280707926 22226484256 30561415852 44452968512 61122831704 84043893593 88905937024 122245663408 168087787186 244491326816 336175574372 488982653632 672351148744 977965307264 1344702297488 2689404594976 5378809189952 10757618379904