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93388994146332 = 2232191097124460909
BaseRepresentation
bin10101001110111111010001…
…110100100111000000011100
3110020122220022120110121221100
4111032333101310213000130
544220041130000140312
6530342151151433100
725446063222440103
oct2516772164470034
9406586276417840
1093388994146332
11278360606054a5
12a5834b5225790
13401570cc61b01
14190c0a11c703a
15abe3de6705dc
hex54efd1d2701c

93388994146332 has 72 divisors (see below), whose sum is σ = 248717704107600. Its totient is φ = 29464377516288.

The previous prime is 93388994146321. The next prime is 93388994146361. The reversal of 93388994146332 is 23364149988339.

93388994146332 is a `hidden beast` number, since 9 + 3 + 3 + 8 + 8 + 99 + 41 + 463 + 32 = 666.

It is a super-2 number, since 2×933889941463322 (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61480107 + ... + 62980802.

It is an arithmetic number, because the mean of its divisors is an integer number (3454412557050).

Almost surely, 293388994146332 is an apocalyptic number.

It is an amenable number.

93388994146332 is an abundant number, since it is smaller than the sum of its proper divisors (155328709961268).

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

93388994146332 is a wasteful number, since it uses less digits than its factorization.

93388994146332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124462035 (or 124462030 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 72.

The spelling of 93388994146332 in words is "ninety-three trillion, three hundred eighty-eight billion, nine hundred ninety-four million, one hundred forty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1097 2194 3291 4388 6582 9873 13164 19746 20843 39492 41686 62529 83372 125058 187587 250116 375174 750348 124460909 248921818 373382727 497843636 746765454 1120148181 1493530908 2240296362 2364757271 4480592724 4729514542 7094271813 9459029084 14188543626 21282815439 28377087252 42565630878 85131261756 136533617173 273067234346 409600851519 546134468692 819201703038 1228802554557 1638403406076 2457605109114 2594138726287 4915210218228 5188277452574 7782416178861 10376554905148 15564832357722 23347248536583 31129664715444 46694497073166 93388994146332