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100390735683744 = 253112933710639151
BaseRepresentation
bin10110110100111000001010…
…001000111010000010100000
3111011110021000222102212112020
4112310320022020322002200
5101124300211313334434
6553302511200301440
730100664005513002
oct2664701210720240
9434407028385466
10100390735683744
1129a95521126660
12b314492311880
134402a6231b23c
141ab0d1a838372
15b915d7bca849
hex5b4e0a23a0a0

100390735683744 has 384 divisors, whose sum is σ = 298591459246080. Its totient is φ = 29254514688000.

The previous prime is 100390735683731. The next prime is 100390735683883. The reversal of 100390735683744 is 447386537093001.

It is a super-3 number, since 3×1003907356837443 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10970461569 + ... + 10970470719.

It is an arithmetic number, because the mean of its divisors is an integer number (777581925120).

Almost surely, 2100390735683744 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 100390735683744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149295729623040).

100390735683744 is an abundant number, since it is smaller than the sum of its proper divisors (198200723562336).

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

100390735683744 is a wasteful number, since it uses less digits than its factorization.

100390735683744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10604 (or 10596 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 100390735683744 in words is "one hundred trillion, three hundred ninety billion, seven hundred thirty-five million, six hundred eighty-three thousand, seven hundred forty-four".