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93997032048 = 24327341921341
BaseRepresentation
bin101011110001010101…
…0001110001001110000
322222121210222222022100
41113202222032021300
53020001220011143
6111103122340400
76535222406133
oct1274252161160
9288553888270
1093997032048
1136955968467
12162734ba700
138b2cc44aba
144799abc21a
1526a22176d3
hex15e2a8e270

93997032048 has 120 divisors (see below), whose sum is σ = 267313672080. Its totient is φ = 30827934720.

The previous prime is 93997032029. The next prime is 93997032049. The reversal of 93997032048 is 84023079939.

It is a junction number, because it is equal to n+sod(n) for n = 93997031985 and 93997032003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93997032049) 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, 4393858 + ... + 4415198.

It is an arithmetic number, because the mean of its divisors is an integer number (2227613934).

Almost surely, 293997032048 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 93997032048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133656836040).

93997032048 is an abundant number, since it is smaller than the sum of its proper divisors (173316640032).

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

93997032048 is a wasteful number, since it uses less digits than its factorization.

93997032048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21847 (or 21838 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 93997032048 in words is "ninety-three billion, nine hundred ninety-seven million, thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 419 438 584 657 838 876 1168 1257 1314 1676 1752 2514 2628 3352 3504 3771 5028 5256 6704 7542 10056 10512 15084 20112 21341 30168 30587 42682 60336 61174 64023 85364 91761 122348 128046 170728 183522 192069 244696 256092 275283 341456 367044 384138 489392 512184 550566 734088 768276 1024368 1101132 1468176 1536552 1557893 2202264 3073104 3115786 4404528 4673679 6231572 8941879 9347358 12463144 14021037 17883758 18694716 24926288 26825637 28042074 35767516 37389432 53651274 56084148 71535032 74778864 80476911 107302548 112168296 143070064 160953822 214605096 224336592 321907644 429210192 643815288 652757167 1287630576 1305514334 1958271501 2611028668 3916543002 5222057336 5874814503 7833086004 10444114672 11749629006 15666172008 23499258012 31332344016 46998516024 93997032048