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9921395932 = 22723711312107
BaseRepresentation
bin10010011110101110…
…00111110011011100
3221121102212010121121
421033113013303130
5130304334132212
64320253540324
7500601321400
oct111727076334
927542763547
109921395932
114231407678
121b0a7a46a4
13c216285a6
146a1941100
153d1032d07
hex24f5c7cdc

9921395932 has 72 divisors (see below), whose sum is σ = 20928290544. Its totient is φ = 4100156928.

The previous prime is 9921395903. The next prime is 9921396007. The reversal of 9921395932 is 2395931299.

It is a happy number.

It is a super-2 number, since 2×99213959322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9921395932.

It is a congruent number.

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, 813423 + ... + 825529.

It is an arithmetic number, because the mean of its divisors is an integer number (290670702).

Almost surely, 29921395932 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 9921395932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10464145272).

9921395932 is an abundant number, since it is smaller than the sum of its proper divisors (11006894612).

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

9921395932 is a wasteful number, since it uses less digits than its factorization.

9921395932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12275 (or 12266 counting only the distinct ones).

The product of its digits is 1180980, while the sum is 52.

The square root of 9921395932 is about 99606.2042846730. The cubic root of 9921395932 is about 2148.7749236417.

The spelling of 9921395932 in words is "nine billion, nine hundred twenty-one million, three hundred ninety-five thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 28 37 49 74 98 113 148 196 226 259 452 518 791 1036 1582 1813 3164 3626 4181 5537 7252 8362 11074 12107 16724 22148 24214 29267 48428 58534 84749 117068 169498 204869 338996 409738 447959 593243 819476 895918 1186486 1368091 1791836 2372972 2736182 3135713 5472364 6271426 9576637 12542852 19153274 21949991 38306548 43899982 50619367 67036459 87799964 101238734 134072918 202477468 268145836 354335569 708671138 1417342276 2480348983 4960697966 9921395932