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9907988112 = 2432116619463
BaseRepresentation
bin10010011101000111…
…11110011010010000
3221120111121221112200
421032203332122100
5130242421104422
64315054323200
7500346336501
oct111643763220
927514557480
109907988112
11422488a130
121b061b9500
13c1b912879
1469dc50ba8
153cec852ac
hex24e8fe690

9907988112 has 120 divisors (see below), whose sum is σ = 30298352448. Its totient is φ = 2997561600.

The previous prime is 9907988081. The next prime is 9907988113. The reversal of 9907988112 is 2118897099.

9907988112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (9907988113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1042293 + ... + 1051755.

Almost surely, 29907988112 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 9907988112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149176224).

9907988112 is an abundant number, since it is smaller than the sum of its proper divisors (20390364336).

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

9907988112 is a wasteful number, since it uses less digits than its factorization.

9907988112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10149 (or 10140 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The square root of 9907988112 is about 99538.8773896913. The cubic root of 9907988112 is about 2147.8065325164.

The spelling of 9907988112 in words is "nine billion, nine hundred seven million, nine hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 661 792 1322 1584 1983 2644 3966 5288 5949 7271 7932 9463 10576 11898 14542 15864 18926 21813 23796 28389 29084 31728 37852 43626 47592 56778 58168 65439 75704 85167 87252 95184 104093 113556 116336 130878 151408 170334 174504 208186 227112 261756 312279 340668 349008 416372 454224 523512 624558 681336 832744 936837 1047024 1249116 1362672 1665488 1873674 2498232 3747348 4996464 6255043 7494696 12510086 14989392 18765129 25020172 37530258 50040344 56295387 68805473 75060516 100080688 112590774 137610946 150121032 206416419 225181548 275221892 300242064 412832838 450363096 550443784 619249257 825665676 900726192 1100887568 1238498514 1651331352 2476997028 3302662704 4953994056 9907988112