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18839707729920 = 21436571117241
BaseRepresentation
bin1000100100010011101100…
…00101100100000000000000
32110201001120121212002000000
410102021312011210000000
54432132210134324140
6104022501532000000
73653060343323160
oct422116605440000
973631517762000
1018839707729920
116003969955170
122143318000000
13a6876635900c
14491bbd5805a0
1522a0e619da30
hex112276164000

18839707729920 has 3360 divisors, whose sum is σ = 89860162081536. Its totient is φ = 3669177139200.

The previous prime is 18839707729897. The next prime is 18839707729939. The reversal of 18839707729920 is 2992770793881.

It is a happy number.

18839707729920 is a `hidden beast` number, since 1 + 88 + 397 + 0 + 7 + 72 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

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 223 ways as a sum of consecutive naturals, for example, 78173061000 + ... + 78173061240.

Almost surely, 218839707729920 is an apocalyptic number.

18839707729920 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 18839707729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44930081040768).

18839707729920 is an abundant number, since it is smaller than the sum of its proper divisors (71020454351616).

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

18839707729920 is an equidigital number, since it uses as much as digits as its factorization.

18839707729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 72.

The spelling of 18839707729920 in words is "eighteen trillion, eight hundred thirty-nine billion, seven hundred seven million, seven hundred twenty-nine thousand, nine hundred twenty".