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55137024000 = 21134532659
BaseRepresentation
bin110011010110011011…
…000011100000000000
312021022121001000210000
4303112123003200000
51400410034232000
641155105440000
73661226654052
oct632633034000
9167277030700
1055137024000
112142445a233
12a829340000
1352791061b6
142950a9d8d2
15167a866000
hexcd66c3800

55137024000 has 480 divisors, whose sum is σ = 205610605200. Its totient is φ = 14697676800.

The previous prime is 55137023897. The next prime is 55137024011. The reversal of 55137024000 is 42073155.

It is a happy number.

55137024000 is a `hidden beast` number, since 5 + 51 + 370 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20734671 + ... + 20737329.

Almost surely, 255137024000 is an apocalyptic number.

55137024000 is a gapful number since it is divisible by the number (50) 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 55137024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102805302600).

55137024000 is an abundant number, since it is smaller than the sum of its proper divisors (150473581200).

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

55137024000 is an equidigital number, since it uses as much as digits as its factorization.

55137024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 55137024000 its reverse (42073155), we get a palindrome (55179097155).

The spelling of 55137024000 in words is "fifty-five billion, one hundred thirty-seven million, twenty-four thousand".