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13923258961920 = 212357211593709
BaseRepresentation
bin1100101010011100001011…
…1001111001000000000000
31211022001100212010022001220
43022213002321321000000
53311104313243240140
645340131252155040
72634631223320500
oct312470271710000
954261325108056
1013923258961920
114488903783970
12168a507308a80
1379cc5b063289
14361c64469a00
15192298ac7bd0
hexca9c2e79000

13923258961920 has 1248 divisors, whose sum is σ = 56708617933440. Its totient is φ = 2884192174080.

The previous prime is 13923258961841. The next prime is 13923258961973. The reversal of 13923258961920 is 2916985232931.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19637882526 + ... + 19637883234.

Almost surely, 213923258961920 is an apocalyptic number.

13923258961920 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 13923258961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28354308966720).

13923258961920 is an abundant number, since it is smaller than the sum of its proper divisors (42785358971520).

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

13923258961920 is a wasteful number, since it uses less digits than its factorization.

13923258961920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 13923258961920 in words is "thirteen trillion, nine hundred twenty-three billion, two hundred fifty-eight million, nine hundred sixty-one thousand, nine hundred twenty".