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18701109504 = 283272112372
BaseRepresentation
bin10001011010101011…
…000100100100000000
31210021022102210110100
4101122223010210000
5301244441001004
612331405402400
71231300544100
oct213253044400
953238383410
1018701109504
117a2731a400
12375ab69400
1319c056a98c
14c959b3200
15746be9739
hex45aac4900

18701109504 has 729 divisors, whose sum is σ = 70857340281. Its totient is φ = 4726149120.

The previous prime is 18701109487. The next prime is 18701109517. The reversal of 18701109504 is 40590110781.

The square root of 18701109504 is 136752.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16734009600 + 1967099904 = 129360^2 + 44352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 505435374 + ... + 505435410.

Almost surely, 218701109504 is an apocalyptic number.

18701109504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18701109504 is the 136752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18701109504

18701109504 is an abundant number, since it is smaller than the sum of its proper divisors (52156230777).

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

18701109504 is a wasteful number, since it uses less digits than its factorization.

18701109504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Multiplying 18701109504 by its sum of digits (36), we get a square (673239942144 = 8205122).

18701109504 divided by its sum of digits (36) gives a square (519475264 = 227922).

The spelling of 18701109504 in words is "eighteen billion, seven hundred one million, one hundred nine thousand, five hundred four".