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18839394040896 = 26341113219313319
BaseRepresentation
bin1000100100010011000110…
…11000111011110001000000
32110201000202202121000120000
410102021203120323301000
54432131034333302041
6104022410444320000
73653046514111002
oct422114330736100
973630682530500
1018839394040896
116003818880a40
12214324ab43000
13a68716377500
14491b8da46372
1522a0c8888bb6
hex11226363bc40

18839394040896 has 1680 divisors, whose sum is σ = 71703356313600. Its totient is φ = 4829903769600.

The previous prime is 18839394040879. The next prime is 18839394040963. The reversal of 18839394040896 is 69804049393881.

18839394040896 is a `hidden beast` number, since 1 + 8 + 8 + 3 + 93 + 9 + 40 + 408 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5676224325 + ... + 5676227643.

Almost surely, 218839394040896 is an apocalyptic number.

18839394040896 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 18839394040896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35851678156800).

18839394040896 is an abundant number, since it is smaller than the sum of its proper divisors (52863962272704).

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

18839394040896 is a wasteful number, since it uses less digits than its factorization.

18839394040896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 18839394040896 in words is "eighteen trillion, eight hundred thirty-nine billion, three hundred ninety-four million, forty thousand, eight hundred ninety-six".