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100992821140928 = 2610735114200451
BaseRepresentation
bin10110111101101000111001…
…001110101001110111000000
3111020120211010100110010110102
4112331220321032221313000
5101214131244203002203
6554443243405221532
730162330153455063
oct2675507116516700
9436524110403412
10100992821140928
112a1a78a6724a92
12b3b11035618a8
134447775044082
141ad2115a608da
15ba20c5b8b888
hex5bda393a9dc0

100992821140928 has 56 divisors (see below), whose sum is σ = 202338259507584. Its totient is φ = 50010221664000.

The previous prime is 100992821140927. The next prime is 100992821141087. The reversal of 100992821140928 is 829041128299001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100992821140927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21943103 + ... + 26143553.

Almost surely, 2100992821140928 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 100992821140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101169129753792).

100992821140928 is an abundant number, since it is smaller than the sum of its proper divisors (101345438366656).

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

100992821140928 is a wasteful number, since it uses less digits than its factorization.

100992821140928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4204081 (or 4204071 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 56.

The spelling of 100992821140928 in words is "one hundred trillion, nine hundred ninety-two billion, eight hundred twenty-one million, one hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 107 214 428 856 1712 3424 3511 6848 7022 14044 28088 56176 112352 224704 375677 751354 1502708 3005416 4200451 6010832 8400902 12021664 16801804 24043328 33603608 67207216 134414432 268828864 449448257 898896514 1797793028 3595586056 7191172112 14382344224 14747783461 28764688448 29495566922 58991133844 117982267688 235964535376 471929070752 943858141504 1578012830327 3156025660654 6312051321308 12624102642616 25248205285232 50496410570464 100992821140928