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9987875392 = 2611103181761
BaseRepresentation
bin10010100110101001…
…01110001001000000
3221210001221122021211
421103110232021000
5130423344003032
64331030455504
7502336353145
oct112324561100
927701848254
109987875392
114265993680
121b28b04594
13c32333851
146aa6c83cc
153d6cb5747
hex25352e240

9987875392 has 112 divisors (see below), whose sum is σ = 21980859264. Its totient is φ = 4465152000.

The previous prime is 9987875383. The next prime is 9987875393. The reversal of 9987875392 is 2935787899.

It is a super-2 number, since 2×99878753922 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9987875393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13124292 + ... + 13125052.

It is an arithmetic number, because the mean of its divisors is an integer number (196257672).

Almost surely, 29987875392 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 9987875392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10990429632).

9987875392 is an abundant number, since it is smaller than the sum of its proper divisors (11992983872).

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

9987875392 is a wasteful number, since it uses less digits than its factorization.

9987875392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1058 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 67.

The square root of 9987875392 is about 99939.3585730867. The cubic root of 9987875392 is about 2153.5636153531.

The spelling of 9987875392 in words is "nine billion, nine hundred eighty-seven million, eight hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 176 181 206 352 362 412 704 724 761 824 1133 1448 1522 1648 1991 2266 2896 3044 3296 3982 4532 5792 6088 6592 7964 8371 9064 11584 12176 15928 16742 18128 18643 24352 31856 33484 36256 37286 48704 63712 66968 72512 74572 78383 127424 133936 137741 149144 156766 205073 267872 275482 298288 313532 410146 535744 550964 596576 627064 820292 862213 1101928 1193152 1254128 1515151 1640584 1724426 2203856 2508256 3030302 3281168 3448852 4407712 5016512 6060604 6562336 6897704 8815424 12121208 13124672 13795408 14187323 24242416 27590816 28374646 48484832 55181632 56749292 96969664 113498584 156060553 226997168 312121106 453994336 624242212 907988672 1248484424 2496968848 4993937696 9987875392