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53015974648 = 237132172314327
BaseRepresentation
bin110001010111111111…
…111001001011111000
312001211202220120001121
4301113333321023320
51332034042142043
640204420155024
73554533230520
oct612777711370
9161752816047
1053015974648
112053615448a
12a336b38a74
134ccb858400
1427cd0d4680
1515a4541ded
hexc57ff92f8

53015974648 has 192 divisors, whose sum is σ = 135925724160. Its totient is φ = 18880063488.

The previous prime is 53015974643. The next prime is 53015974751. The reversal of 53015974648 is 84647951035.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 53015974595 and 53015974604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53015974643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3693261 + ... + 3707587.

It is an arithmetic number, because the mean of its divisors is an integer number (707946480).

Almost surely, 253015974648 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 53015974648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67962862080).

53015974648 is an abundant number, since it is smaller than the sum of its proper divisors (82909749512).

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

53015974648 is a wasteful number, since it uses less digits than its factorization.

53015974648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14406 (or 14389 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 53015974648 in words is "fifty-three billion, fifteen million, nine hundred seventy-four thousand, six hundred forty-eight".