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18908373216 = 25317101114713
BaseRepresentation
bin10001100111000001…
…101110000011100000
31210210202102212211010
4101213001232003200
5302211020420331
612404132020520
71236365343345
oct214701560340
953722385733
1018908373216
118023313727
1237b8461740
131a24499225
14cb53267cc
15759edae46
hex46706e0e0

18908373216 has 96 divisors (see below), whose sum is σ = 53074955808. Its totient is φ = 5873254400.

The previous prime is 18908373179. The next prime is 18908373257. The reversal of 18908373216 is 61237380981.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 107476 + ... + 222188.

It is an arithmetic number, because the mean of its divisors is an integer number (552864123).

Almost surely, 218908373216 is an apocalyptic number.

18908373216 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 18908373216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26537477904).

18908373216 is an abundant number, since it is smaller than the sum of its proper divisors (34166582592).

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

18908373216 is a wasteful number, since it uses less digits than its factorization.

18908373216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114844 (or 114836 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 18908373216 in words is "eighteen billion, nine hundred eight million, three hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 101 102 136 202 204 272 303 404 408 544 606 808 816 1212 1616 1632 1717 2424 3232 3434 4848 5151 6868 9696 10302 13736 20604 27472 41208 54944 82416 114713 164832 229426 344139 458852 688278 917704 1376556 1835408 1950121 2753112 3670816 3900242 5506224 5850363 7800484 11012448 11586013 11700726 15600968 23172026 23401452 31201936 34758039 46344052 46802904 62403872 69516078 92688104 93605808 139032156 185376208 187211616 196962221 278064312 370752416 393924442 556128624 590886663 787848884 1112257248 1181773326 1575697768 2363546652 3151395536 4727093304 6302791072 9454186608 18908373216