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18916294923900 = 223352112227255071
BaseRepresentation
bin1000100110100010010110…
…00010100001011001111100
32110222101021010011122021000
410103101023002201121330
54434411033000031100
6104122005333210300
73661441264613043
oct423211302413174
973871233148230
1018916294923900
1160333a0379600
122156130a90990
13a72a5040318a
144957a6d7755a
1522c0c9c35900
hex11344b0a167c

18916294923900 has 432 divisors, whose sum is σ = 67138092887040. Its totient is φ = 4565548944000.

The previous prime is 18916294923881. The next prime is 18916294923913. The reversal of 18916294923900 is 932949261981.

18916294923900 is a `hidden beast` number, since 1 + 8 + 91 + 6 + 29 + 492 + 39 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74033365 + ... + 74288435.

Almost surely, 218916294923900 is an apocalyptic number.

18916294923900 is a gapful number since it is divisible by the number (10) 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 18916294923900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33569046443520).

18916294923900 is an abundant number, since it is smaller than the sum of its proper divisors (48221797963140).

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

18916294923900 is a wasteful number, since it uses less digits than its factorization.

18916294923900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255343 (or 255319 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 18916294923900 in words is "eighteen trillion, nine hundred sixteen billion, two hundred ninety-four million, nine hundred twenty-three thousand, nine hundred".