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53175137040 = 24335234092617
BaseRepresentation
bin110001100001011111…
…000011001100010000
312002020212101211211000
4301201133003030100
51332400313341130
640232303422000
73561505131024
oct614137031420
9162225354730
1053175137040
1120607a84553
12a3802b4900
13502581483c
1428062c6384
1515b34d1260
hexc617c3310

53175137040 has 320 divisors, whose sum is σ = 191662732800. Its totient is φ = 13525180416.

The previous prime is 53175137021. The next prime is 53175137051. The reversal of 53175137040 is 4073157135.

53175137040 is a `hidden beast` number, since 5 + 31 + 7 + 513 + 70 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 53175136986 and 53175137004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20317812 + ... + 20320428.

It is an arithmetic number, because the mean of its divisors is an integer number (598946040).

Almost surely, 253175137040 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 53175137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95831366400).

53175137040 is an abundant number, since it is smaller than the sum of its proper divisors (138487595760).

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

53175137040 is a wasteful number, since it uses less digits than its factorization.

53175137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 53175137040 in words is "fifty-three billion, one hundred seventy-five million, one hundred thirty-seven thousand, forty".