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13422620160 = 2935521577
BaseRepresentation
bin11001000000000110…
…01110111000000000
31021122110000202100000
430200003032320000
5204442142321120
610055525200000
7653424250245
oct144003167000
937573022300
1013422620160
1157687a0214
122727260000
13135bb031c1
1491493b5cc
155385d2990
hex3200cee00

13422620160 has 240 divisors, whose sum is σ = 48210258096. Its totient is φ = 3579199488.

The previous prime is 13422620083. The next prime is 13422620177. The reversal of 13422620160 is 6102622431.

13422620160 is a `hidden beast` number, since 1 + 3 + 4 + 22 + 620 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611292 + ... + 632868.

Almost surely, 213422620160 is an apocalyptic number.

13422620160 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 13422620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105129048).

13422620160 is an abundant number, since it is smaller than the sum of its proper divisors (34787637936).

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

13422620160 is an frugal number, since it uses more digits than its factorization.

13422620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21615 (or 21587 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13422620160 in words is "thirteen billion, four hundred twenty-two million, six hundred twenty thousand, one hundred sixty".