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93985312932 = 22337764916253
BaseRepresentation
bin101011110000111110…
…1100001000010100100
322222120222221120201000
41113201331201002210
53014440220003212
6111102023233300
76535020656460
oct1274175410244
9288528846630
1093985312932
113694a293745
121626b5a8830
138b2a6a0904
14479830b4a0
1526a11a01dc
hex15e1f610a4

93985312932 has 96 divisors (see below), whose sum is σ = 278528544000. Its totient is φ = 26847783936.

The previous prime is 93985312931. The next prime is 93985312951. The reversal of 93985312932 is 23921358939.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (93985312931) 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 31 ways as a sum of consecutive naturals, for example, 5774518 + ... + 5790770.

It is an arithmetic number, because the mean of its divisors is an integer number (2901339000).

Almost surely, 293985312932 is an apocalyptic number.

It is an amenable number.

93985312932 is an abundant number, since it is smaller than the sum of its proper divisors (184543231068).

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

93985312932 is a wasteful number, since it uses less digits than its factorization.

93985312932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23922 (or 23914 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The spelling of 93985312932 in words is "ninety-three billion, nine hundred eighty-five million, three hundred twelve thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 7649 15298 16253 22947 30596 32506 45894 48759 53543 65012 68841 91788 97518 107086 113771 137682 146277 160629 195036 206523 214172 227542 275364 292554 321258 341313 413046 438831 455084 481887 585108 642516 682626 826092 877662 963774 1023939 1365252 1445661 1755324 1927548 2047878 2891322 3071817 4095756 5782644 6143634 12287268 124319197 248638394 372957591 497276788 745915182 870234379 1118872773 1491830364 1740468758 2237745546 2610703137 3356618319 3480937516 4475491092 5221406274 6713236638 7832109411 10442812548 13426473276 15664218822 23496328233 31328437644 46992656466 93985312932