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93882445504 = 2631374131193
BaseRepresentation
bin101011101101111010…
…1000110111011000000
322222022211101101010021
41113123311012323000
53014232401224004
6111043510343224
76532331422441
oct1273365067300
9288284341107
1093882445504
11368a7213941
121624105ab14
138b12294c03
1447887b12c8
152697130d54
hex15dbd46ec0

93882445504 has 112 divisors (see below), whose sum is σ = 202328775936. Its totient is φ = 43119820800.

The previous prime is 93882445487. The next prime is 93882445507. The reversal of 93882445504 is 40554428839.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (93882445507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2994132 + ... + 3025324.

It is an arithmetic number, because the mean of its divisors is an integer number (1806506928).

Almost surely, 293882445504 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 93882445504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101164387968).

93882445504 is an abundant number, since it is smaller than the sum of its proper divisors (108446330432).

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

93882445504 is a wasteful number, since it uses less digits than its factorization.

93882445504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31314 (or 31304 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 52.

The spelling of 93882445504 in words is "ninety-three billion, eight hundred eighty-two million, four hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 31 32 37 41 62 64 74 82 124 148 164 248 296 328 496 592 656 992 1147 1184 1271 1312 1517 1984 2294 2368 2542 2624 3034 4588 5084 6068 9176 10168 12136 18352 20336 24272 31193 36704 40672 47027 48544 62386 73408 81344 94054 97088 124772 188108 249544 376216 499088 752432 966983 998176 1154141 1278913 1504864 1933966 1996352 2308282 2557826 3009728 3867932 4616564 5115652 7735864 9233128 10231304 15471728 18466256 20462608 30943456 35778371 36932512 39646303 40925216 47319781 61886912 71556742 73865024 79292606 81850432 94639562 143113484 158585212 189279124 286226968 317170424 378558248 572453936 634340848 757116496 1144907872 1268681696 1466913211 1514232992 2289815744 2537363392 2933826422 3028465984 5867652844 11735305688 23470611376 46941222752 93882445504