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9121077672 = 2337313794621
BaseRepresentation
bin10000111111010100…
…01001100110101000
3212112122220202100120
420133222021212220
5122134443441142
64105024203240
7442012611120
oct103752114650
925478822316
109121077672
113960679723
121926769520
13b248938a5
14627531c80
15385b467ec
hex21fa899a8

9121077672 has 128 divisors (see below), whose sum is σ = 26977689600. Its totient is φ = 2514758400.

The previous prime is 9121077671. The next prime is 9121077697. The reversal of 9121077672 is 2767701219.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (9121077671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1971522 + ... + 1976142.

It is an arithmetic number, because the mean of its divisors is an integer number (210763200).

Almost surely, 29121077672 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 9121077672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488844800).

9121077672 is an abundant number, since it is smaller than the sum of its proper divisors (17856611928).

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

9121077672 is a wasteful number, since it uses less digits than its factorization.

9121077672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5047 (or 5043 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The square root of 9121077672 is about 95504.3332629468. Note that the first 3 decimals coincide. The cubic root of 9121077672 is about 2089.3701445196.

The spelling of 9121077672 in words is "nine billion, one hundred twenty-one million, seventy-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 379 434 651 744 758 868 1137 1302 1516 1736 2274 2604 2653 3032 4548 4621 5208 5306 7959 9096 9242 10612 11749 13863 15918 18484 21224 23498 27726 31836 32347 35247 36968 46996 55452 63672 64694 70494 82243 93992 97041 110904 129388 140988 143251 164486 194082 246729 258776 281976 286502 328972 388164 429753 493458 573004 657944 776328 859506 986916 1002757 1146008 1719012 1751359 1973832 2005514 3008271 3438024 3502718 4011028 5254077 6016542 7005436 8022056 10508154 12033084 12259513 14010872 21016308 24066168 24519026 36778539 42032616 49038052 54292129 73557078 98076104 108584258 147114156 162876387 217168516 294228312 325752774 380044903 434337032 651505548 760089806 1140134709 1303011096 1520179612 2280269418 3040359224 4560538836 9121077672