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18920271840 = 253539417233
BaseRepresentation
bin10001100111101111…
…000110111111100000
31210211120211101122220
4101213233012333200
5302222042144330
612405235031040
71236601441251
oct214757067740
953746741586
1018920271840
11802a0002a8
12380043b480
131a26aa4032
14cb6b42b28
1575b08b710
hex467bc6fe0

18920271840 has 48 divisors (see below), whose sum is σ = 59598857808. Its totient is φ = 5045405696.

The previous prime is 18920271817. The next prime is 18920271871. The reversal of 18920271840 is 4817202981.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18920271792 and 18920271801.

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, 19708137 + ... + 19709096.

It is an arithmetic number, because the mean of its divisors is an integer number (1241642871).

Almost surely, 218920271840 is an apocalyptic number.

18920271840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18920271840 is an abundant number, since it is smaller than the sum of its proper divisors (40678585968).

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

18920271840 is a wasteful number, since it uses less digits than its factorization.

18920271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39417251 (or 39417243 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 18920271840 in words is "eighteen billion, nine hundred twenty million, two hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 39417233 78834466 118251699 157668932 197086165 236503398 315337864 394172330 473006796 591258495 630675728 788344660 946013592 1182516990 1261351456 1576689320 1892027184 2365033980 3153378640 3784054368 4730067960 6306757280 9460135920 18920271840