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13385155520 = 265112379343
BaseRepresentation
bin11000111011101000…
…10100001111000000
31021112211112100111202
430131310110033000
5204403044434040
610052110200332
7652460642012
oct143564241700
937484470452
1013385155520
115749631500
1227167b30a8
131354116689
1490d9881b2
15535182015
hex31dd143c0

13385155520 has 168 divisors, whose sum is σ = 35985126912. Its totient is φ = 4735272960.

The previous prime is 13385155517. The next prime is 13385155543. The reversal of 13385155520 is 2555158331.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427969 + ... + 1437311.

It is an arithmetic number, because the mean of its divisors is an integer number (214197184).

Almost surely, 213385155520 is an apocalyptic number.

13385155520 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 13385155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992563456).

13385155520 is an abundant number, since it is smaller than the sum of its proper divisors (22599971392).

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

13385155520 is a wasteful number, since it uses less digits than its factorization.

13385155520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419 (or 9398 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 13385155520 in words is "thirteen billion, three hundred eighty-five million, one hundred fifty-five thousand, five hundred twenty".