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103057585360 = 24519292337967
BaseRepresentation
bin101111111111010110…
…1011111010011010000
3100212000021000202211221
41133332231133103100
53142030220212420
6115202145414424
710305602010352
oct1377655372320
9325007022757
10103057585360
113a785358254
1217b8193a414
139945106b52
144db91770d2
152a328a5caa
hex17feb5f4d0

103057585360 has 80 divisors (see below), whose sum is σ = 260917228800. Its totient is φ = 37706715648.

The previous prime is 103057585339. The next prime is 103057585373. The reversal of 103057585360 is 63585750301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 1124904 + ... + 1213063.

It is an arithmetic number, because the mean of its divisors is an integer number (3261465360).

Almost surely, 2103057585360 is an apocalyptic number.

103057585360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103057585360 is an abundant number, since it is smaller than the sum of its proper divisors (157859643440).

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

103057585360 is a wasteful number, since it uses less digits than its factorization.

103057585360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338028 (or 2338022 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The spelling of 103057585360 in words is "one hundred three billion, fifty-seven million, five hundred eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 464 551 580 760 1102 1160 1520 2204 2320 2755 4408 5510 8816 11020 22040 44080 2337967 4675934 9351868 11689835 18703736 23379670 37407472 44421373 46759340 67801043 88842746 93518680 135602086 177685492 187037360 222106865 271204172 339005215 355370984 444213730 542408344 678010430 710741968 888427460 1084816688 1288219817 1356020860 1776854920 2576439634 2712041720 3553709840 5152879268 5424083440 6441099085 10305758536 12882198170 20611517072 25764396340 51528792680 103057585360