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13425060960 = 253354372271
BaseRepresentation
bin11001000000011001…
…00010110001100000
31021122121121202111000
430200030202301200
5204443303422320
610100053352000
7653454064263
oct144014426140
937577552430
1013425060960
11576a108003
122728038600
13135c47916c
14914db4cda
15538915c90
hex320322c60

13425060960 has 192 divisors, whose sum is σ = 48081116160. Its totient is φ = 3496711680.

The previous prime is 13425060959. The next prime is 13425060989. The reversal of 13425060960 is 6906052431.

It is a happy number.

13425060960 is a `hidden beast` number, since 1 + 3 + 42 + 5 + 0 + 609 + 6 + 0 = 666.

It is a super-2 number, since 2×134250609602 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 149625 + ... + 221895.

It is an arithmetic number, because the mean of its divisors is an integer number (250422480).

Almost surely, 213425060960 is an apocalyptic number.

13425060960 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 13425060960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24040558080).

13425060960 is an abundant number, since it is smaller than the sum of its proper divisors (34656055200).

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

13425060960 is a wasteful number, since it uses less digits than its factorization.

13425060960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72338 (or 72324 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 13425060960 in words is "thirteen billion, four hundred twenty-five million, sixty thousand, nine hundred sixty".