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18904564896 = 2537139202387
BaseRepresentation
bin10001100110110011…
…001100010010100000
31210210111021101210020
4101212303030102200
5302204032034041
612403514233440
71236321102360
oct214663142240
953714241706
1018904564896
118021152458
1237b7125880
131a23764999
14cb4a149a0
157599d7866
hex466ccc4a0

18904564896 has 96 divisors (see below), whose sum is σ = 57121989120. Its totient is φ = 5362419456.

The previous prime is 18904564883. The next prime is 18904564897. The reversal of 18904564896 is 69846540981.

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

It is not an unprimeable number, because it can be changed into a prime (18904564897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7786 + ... + 194601.

It is an arithmetic number, because the mean of its divisors is an integer number (595020720).

Almost surely, 218904564896 is an apocalyptic number.

18904564896 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 18904564896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28560994560).

18904564896 is an abundant number, since it is smaller than the sum of its proper divisors (38217424224).

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

18904564896 is a wasteful number, since it uses less digits than its factorization.

18904564896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202546 (or 202538 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 18904564896 in words is "eighteen billion, nine hundred four million, five hundred sixty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 672 834 973 1112 1668 1946 2224 2919 3336 3892 4448 5838 6672 7784 11676 13344 15568 23352 31136 46704 93408 202387 404774 607161 809548 1214322 1416709 1619096 2428644 2833418 3238192 4250127 4857288 5666836 6476384 8500254 9714576 11333672 17000508 19429152 22667344 28131793 34001016 45334688 56263586 68002032 84395379 112527172 136004064 168790758 196922551 225054344 337581516 393845102 450108688 590767653 675163032 787690204 900217376 1181535306 1350326064 1575380408 2363070612 2700652128 3150760816 4726141224 6301521632 9452282448 18904564896