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54152708640 = 25351937160481
BaseRepresentation
bin110010011011110000…
…001100001000100000
312011202222212121221120
4302123300030020200
51341401043134030
640513304252240
73624645300012
oct623360141040
9164688777846
1054152708640
1120a69879568
12a5b3771080
1351501cb184
14289a0761b2
15161e232010
hexc9bc0c220

54152708640 has 192 divisors, whose sum is σ = 184413075840. Its totient is φ = 13310853120.

The previous prime is 54152708629. The next prime is 54152708641. The reversal of 54152708640 is 4680725145.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54152708592 and 54152708601.

It is not an unprimeable number, because it can be changed into a prime (54152708641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257200 + ... + 417680.

It is an arithmetic number, because the mean of its divisors is an integer number (960484770).

Almost surely, 254152708640 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 54152708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92206537920).

54152708640 is an abundant number, since it is smaller than the sum of its proper divisors (130260367200).

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

54152708640 is a wasteful number, since it uses less digits than its factorization.

54152708640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160555 (or 160547 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 54152708640 in words is "fifty-four billion, one hundred fifty-two million, seven hundred eight thousand, six hundred forty".