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18427951104 = 211313721893
BaseRepresentation
bin10001001010011001…
…000011100000000000
31202120021102220120120
4101022121003200000
5300220023413404
612244330540240
71221442666653
oct211231034000
952507386516
1018427951104
1178a7109462
1236a3597680
131978aaa3a4
14c6b5c989a
1572cc3d9d9
hex44a643800

18427951104 has 96 divisors (see below), whose sum is σ = 49490073360. Its totient is φ = 6097534976.

The previous prime is 18427951093. The next prime is 18427951111. The reversal of 18427951104 is 40115972481.

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 7 ways as a sum of consecutive naturals, for example, 830782 + ... + 852674.

Almost surely, 218427951104 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 18427951104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24745036680).

18427951104 is an abundant number, since it is smaller than the sum of its proper divisors (31062122256).

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

18427951104 is a wasteful number, since it uses less digits than its factorization.

18427951104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22055 (or 22035 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 18427951104 in words is "eighteen billion, four hundred twenty-seven million, nine hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 512 548 768 822 1024 1096 1536 1644 2048 2192 3072 3288 4384 6144 6576 8768 13152 17536 21893 26304 35072 43786 52608 65679 70144 87572 105216 131358 140288 175144 210432 262716 280576 350288 420864 525432 700576 841728 1050864 1401152 2101728 2802304 2999341 4203456 5604608 5998682 8406912 8998023 11209216 11997364 16813824 17996046 22418432 23994728 33627648 35992092 44836864 47989456 67255296 71984184 95978912 134510592 143968368 191957824 287936736 383915648 575873472 767831296 1151746944 1535662592 2303493888 3071325184 4606987776 6142650368 9213975552 18427951104