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55134397440 = 2103351093659
BaseRepresentation
bin110011010110010001…
…000010010000000000
312021022102002120211000
4303112101002100000
51400403401204230
641154533252000
73661165434333
oct632621022000
9167272076730
1055134397440
1121422a25921
12a828494000
1352786c6815
1429505b861a
15167a4e7b60
hexcd6442400

55134397440 has 352 divisors, whose sum is σ = 197789328000. Its totient is φ = 14563639296.

The previous prime is 55134397421. The next prime is 55134397457. The reversal of 55134397440 is 4479343155.

55134397440 is a `hidden beast` number, since 5 + 513 + 4 + 3 + 97 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15066331 + ... + 15069989.

It is an arithmetic number, because the mean of its divisors is an integer number (561901500).

Almost surely, 255134397440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55134397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98894664000).

55134397440 is an abundant number, since it is smaller than the sum of its proper divisors (142654930560).

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

55134397440 is a wasteful number, since it uses less digits than its factorization.

55134397440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 55134397440 in words is "fifty-five billion, one hundred thirty-four million, three hundred ninety-seven thousand, four hundred forty".