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93013152204 = 22372298365719
BaseRepresentation
bin101011010100000000…
…1000001000111001100
322220002020122200220010
41112220001001013030
53010442331332304
6110421334353220
76501644514600
oct1265001010714
9286066580803
1093013152204
11364a0554a25
1216039abb810
138a0416008b
144705169500
152645b6c789
hex15a80411cc

93013152204 has 144 divisors (see below), whose sum is σ = 264320582400. Its totient is φ = 25349272704.

The previous prime is 93013152173. The next prime is 93013152217. The reversal of 93013152204 is 40225131039.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1382457 + ... + 1448175.

It is an arithmetic number, because the mean of its divisors is an integer number (1835559600).

Almost surely, 293013152204 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 93013152204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132160291200).

93013152204 is an abundant number, since it is smaller than the sum of its proper divisors (171307430196).

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

93013152204 is a wasteful number, since it uses less digits than its factorization.

93013152204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65852 (or 65843 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 93013152204 in words is "ninety-three billion, thirteen million, one hundred fifty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 49 58 83 84 87 98 116 147 166 174 196 203 249 294 332 348 406 498 581 588 609 812 996 1162 1218 1421 1743 2324 2407 2436 2842 3486 4067 4263 4814 5684 6972 7221 8134 8526 9628 12201 14442 16268 16849 17052 24402 28884 33698 48804 50547 65719 67396 101094 117943 131438 197157 202188 235886 262876 353829 394314 460033 471772 707658 788628 920066 1380099 1415316 1840132 1905851 2760198 3220231 3811702 5454677 5520396 5717553 6440462 7623404 9660693 10909354 11435106 12880924 13340957 16364031 19321386 21818708 22870212 26681914 32728062 38182739 38642772 40022871 53363828 65456124 76365478 80045742 93386699 114548217 152730956 158185633 160091484 186773398 229096434 267279173 280160097 316371266 373546796 458192868 474556899 534558346 560320194 632742532 801837519 949113798 1069116692 1107299431 1120640388 1603675038 1898227596 2214598862 3207350076 3321898293 4429197724 6643796586 7751096017 13287593172 15502192034 23253288051 31004384068 46506576102 93013152204