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9121870968 = 233731958321
BaseRepresentation
bin10000111111011010…
…01011010001111000
3212112201102001112220
420133231023101320
5122140144332333
64105053204040
7442022424000
oct103755132170
925481361486
109121870968
113961070741
121926a90620
13b24ab09b2
1462769b000
15385c518b3
hex21fb4b478

9121870968 has 128 divisors (see below), whose sum is σ = 27994560000. Its totient is φ = 2469035520.

The previous prime is 9121870951. The next prime is 9121870981. The reversal of 9121870968 is 8690781219.

It is a self number, because there is not a number n which added to its sum of digits gives 9121870968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127248 + ... + 185568.

It is an arithmetic number, because the mean of its divisors is an integer number (218707500).

Almost surely, 29121870968 is an apocalyptic number.

9121870968 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9121870968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13997280000).

9121870968 is an abundant number, since it is smaller than the sum of its proper divisors (18872689032).

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

9121870968 is a wasteful number, since it uses less digits than its factorization.

9121870968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58370 (or 58352 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 51.

The square root of 9121870968 is about 95508.4863663957. The cubic root of 9121870968 is about 2089.4307163434.

The spelling of 9121870968 in words is "nine billion, one hundred twenty-one million, eight hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 343 392 399 456 532 588 686 798 931 1029 1064 1176 1372 1596 1862 2058 2744 2793 3192 3724 4116 5586 6517 7448 8232 11172 13034 19551 22344 26068 39102 52136 58321 78204 116642 156408 174963 233284 349926 408247 466568 699852 816494 1108099 1224741 1399704 1632988 2216198 2449482 2857729 3265976 3324297 4432396 4898964 5715458 6648594 7756693 8573187 8864792 9797928 11430916 13297188 15513386 17146374 20004103 22861832 23270079 26594376 31026772 34292748 40008206 46540158 54296851 60012309 62053544 68585496 80016412 93080316 108593702 120024618 160032824 162890553 186160632 217187404 240049236 325781106 380077957 434374808 480098472 651562212 760155914 1140233871 1303124424 1520311828 2280467742 3040623656 4560935484 9121870968