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102748294920 = 23351352363317
BaseRepresentation
bin101111110110001000…
…1101000111100001000
3100211012201001012010110
41133230101220330020
53140412030414140
6115111340314320
710265125045065
oct1375421507410
9324181035113
10102748294920
113a636808817
1217ab62429a0
1398c600545b
144d8a065c6c
152a1565e380
hex17ec468f08

102748294920 has 64 divisors (see below), whose sum is σ = 308272547520. Its totient is φ = 27397086464.

The previous prime is 102748294919. The next prime is 102748294949. The reversal of 102748294920 is 29492847201.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 102748294920.

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, 1591102 + ... + 1654418.

It is an arithmetic number, because the mean of its divisors is an integer number (4816758555).

Almost surely, 2102748294920 is an apocalyptic number.

102748294920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102748294920 is an abundant number, since it is smaller than the sum of its proper divisors (205524252600).

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

102748294920 is a wasteful number, since it uses less digits than its factorization.

102748294920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76854 (or 76850 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 102748294920 in words is "one hundred two billion, seven hundred forty-eight million, two hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 13523 27046 40569 54092 63317 67615 81138 108184 126634 135230 162276 189951 202845 253268 270460 316585 324552 379902 405690 506536 540920 633170 759804 811380 949755 1266340 1519608 1622760 1899510 2532680 3799020 7598040 856235791 1712471582 2568707373 3424943164 4281178955 5137414746 6849886328 8562357910 10274829492 12843536865 17124715820 20549658984 25687073730 34249431640 51374147460 102748294920