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100992468670398 = 23215394936445139
BaseRepresentation
bin10110111101101000100100…
…001110000101011110111110
3111020120210012210012202210100
4112331220210032011132332
5101214130033434423043
6554443144414421530
730162315343511154
oct2675504416053676
9436523183182710
10100992468670398
112a1a7735772728
12b3b10255018a6
13444771a004526
141ad20c0d0d3d4
15ba20a4c65cd3
hex5bda243857be

100992468670398 has 24 divisors (see below), whose sum is σ = 218818442817000. Its totient is φ = 33663936628944.

The previous prime is 100992468670369. The next prime is 100992468670411. The reversal of 100992468670398 is 893076864299001.

100992468670398 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 9 + 2 + 468 + 6 + 70 + 3 + 98 = 666.

It is a super-2 number, since 2×1009924686703982 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 15451488 + ... + 20993651.

It is an arithmetic number, because the mean of its divisors is an integer number (9117435117375).

Almost surely, 2100992468670398 is an apocalyptic number.

100992468670398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100992468670398 is an abundant number, since it is smaller than the sum of its proper divisors (117825974146602).

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

100992468670398 is a wasteful number, since it uses less digits than its factorization.

100992468670398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36599096 (or 36599093 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 100992468670398 in words is "one hundred trillion, nine hundred ninety-two billion, four hundred sixty-eight million, six hundred seventy thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 153949 307898 461847 923694 1385541 2771082 36445139 72890278 109335417 218670834 328006251 656012502 5610692703911 11221385407822 16832078111733 33664156223466 50496234335199 100992468670398