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53454706272 = 2533113234347
BaseRepresentation
bin110001110010001001…
…100001011001100000
312002222100110102201000
4301302021201121200
51333433401100042
640320131512000
73601441335462
oct616211413140
9162870412630
1053454706272
1120740874000
12a439a58600
13506b70b116
14283149c132
1515ccd0674c
hexc72261660

53454706272 has 768 divisors, whose sum is σ = 187002224640. Its totient is φ = 14811793920.

The previous prime is 53454706259. The next prime is 53454706297. The reversal of 53454706272 is 27260745435.

53454706272 is a `hidden beast` number, since 5 + 3 + 454 + 70 + 62 + 72 = 666.

It is a super-2 number, since 2×534547062722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 1137334153 + ... + 1137334199.

It is an arithmetic number, because the mean of its divisors is an integer number (243492480).

Almost surely, 253454706272 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 53454706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93501112320).

53454706272 is an abundant number, since it is smaller than the sum of its proper divisors (133547518368).

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

53454706272 is a wasteful number, since it uses less digits than its factorization.

53454706272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 53454706272 in words is "fifty-three billion, four hundred fifty-four million, seven hundred six thousand, two hundred seventy-two".