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18438416128 = 28116547733
BaseRepresentation
bin10001001011000000…
…111110011100000000
31202121000010120220001
4101023000332130000
5300230213304003
612245343125344
71221630644146
oct211300763400
952530116801
1018438416128
117902006a40
1236a6ba3854
13197b002802
14c6cb51596
1572db0961d
hex44b03e700

18438416128 has 36 divisors (see below), whose sum is σ = 40150704888. Its totient is φ = 8381096960.

The previous prime is 18438416119. The next prime is 18438416131. The reversal of 18438416128 is 82161483481.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3271051 + ... + 3276682.

It is an arithmetic number, because the mean of its divisors is an integer number (1115297358).

Almost surely, 218438416128 is an apocalyptic number.

It is an amenable number.

18438416128 is an abundant number, since it is smaller than the sum of its proper divisors (21712288760).

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

18438416128 is an equidigital number, since it uses as much as digits as its factorization.

18438416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6547760 (or 6547746 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The spelling of 18438416128 in words is "eighteen billion, four hundred thirty-eight million, four hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 6547733 13095466 26190932 52381864 72025063 104763728 144050126 209527456 288100252 419054912 576200504 838109824 1152401008 1676219648 2304802016 4609604032 9219208064 18438416128