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18640298976 = 2531322436659
BaseRepresentation
bin10001010111000011…
…000110001111100000
31210010002000022002120
4101113003012033200
5301133404031401
612321354144240
71226631632655
oct212703061740
953102008076
1018640298976
1179a5a65572
123742722080
1319b0a98b10
14c8b8a3c2c
157416d6836
hex4570c63e0

18640298976 has 96 divisors (see below), whose sum is σ = 52726101120. Its totient is φ = 5732058624.

The previous prime is 18640298951. The next prime is 18640298987. The reversal of 18640298976 is 67989204681.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2795935 + ... + 2802593.

It is an arithmetic number, because the mean of its divisors is an integer number (549230220).

Almost surely, 218640298976 is an apocalyptic number.

18640298976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18640298976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26363050560).

18640298976 is an abundant number, since it is smaller than the sum of its proper divisors (34085802144).

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

18640298976 is a wasteful number, since it uses less digits than its factorization.

18640298976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8920 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 18640298976 in words is "eighteen billion, six hundred forty million, two hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2243 4486 6659 6729 8972 13318 13458 17944 19977 26636 26916 29159 35888 39954 53272 53832 58318 71776 79908 86567 87477 106544 107664 116636 159816 173134 174954 213088 215328 233272 259701 319632 346268 349908 466544 519402 639264 692536 699816 933088 1038804 1385072 1399632 2077608 2770144 2799264 4155216 8310432 14936137 29872274 44808411 59744548 89616822 119489096 179233644 194169781 238978192 358467288 388339562 477956384 582509343 716934576 776679124 1165018686 1433869152 1553358248 2330037372 3106716496 4660074744 6213432992 9320149488 18640298976