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53529543144 = 23337311193457
BaseRepresentation
bin110001110110100111…
…000000000111101000
312010011120021112121000
4301312213000013220
51334112030340034
640331403515000
73603340416000
oct616647000750
9163146245530
1053529543144
112077a039060
12a45ab28a60
1350810813ac
14283b3bd000
1515d468a599
hexc769c01e8

53529543144 has 512 divisors, whose sum is σ = 199180800000. Its totient is φ = 13168189440.

The previous prime is 53529543061. The next prime is 53529543161. The reversal of 53529543144 is 44134592535.

53529543144 is a `hidden beast` number, since 5 + 3 + 529 + 54 + 31 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53529543144.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15482664 + ... + 15486120.

It is an arithmetic number, because the mean of its divisors is an integer number (389025000).

Almost surely, 253529543144 is an apocalyptic number.

53529543144 is a gapful number since it is divisible by the number (54) 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 53529543144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99590400000).

53529543144 is an abundant number, since it is smaller than the sum of its proper divisors (145651256856).

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

53529543144 is a wasteful number, since it uses less digits than its factorization.

53529543144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3499 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 53529543144 in words is "fifty-three billion, five hundred twenty-nine million, five hundred forty-three thousand, one hundred forty-four".