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93486960048 = 24317281407713
BaseRepresentation
bin101011100010001000…
…0011100110110110000
322221022021012122001210
41113010100130312300
53012430130210143
6110540342000120
76516460022556
oct1270420346660
9287267178053
1093486960048
1136713a51859
1216150716040
138a7b374451
14474c063bd6
152672560033
hex15c441cdb0

93486960048 has 80 divisors (see below), whose sum is σ = 256624976736. Its totient is φ = 29224796160.

The previous prime is 93486960019. The next prime is 93486960053. The reversal of 93486960048 is 84006968439.

It is a self number, because there is not a number n which added to its sum of digits gives 93486960048.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25440 + ... + 433152.

Almost surely, 293486960048 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 93486960048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128312488368).

93486960048 is an abundant number, since it is smaller than the sum of its proper divisors (163138016688).

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

93486960048 is a wasteful number, since it uses less digits than its factorization.

93486960048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408022 (or 408016 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 93486960048 in words is "ninety-three billion, four hundred eighty-six million, nine hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 281 408 562 816 843 1124 1686 2248 3372 4496 4777 6744 9554 13488 14331 19108 28662 38216 57324 76432 114648 229296 407713 815426 1223139 1630852 2446278 3261704 4892556 6523408 6931121 9785112 13862242 19570224 20793363 27724484 41586726 55448968 83173452 110897936 114567353 166346904 229134706 332693808 343702059 458269412 687404118 916538824 1374808236 1833077648 1947645001 2749616472 3895290002 5499232944 5842935003 7790580004 11685870006 15581160008 23371740012 31162320016 46743480024 93486960048