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53246149632 = 21034131923113
BaseRepresentation
bin110001100101101101…
…111100010000000000
312002102211000122210000
4301211231330100000
51333022003242012
640243321440000
73563326542564
oct614555742000
9162384018700
1053246149632
1120644077345
12a3a0040000
135037449220
1428118cd6a4
1515b985bddc
hexc65b7c400

53246149632 has 880 divisors, whose sum is σ = 189748056960. Its totient is φ = 14714929152.

The previous prime is 53246149603. The next prime is 53246149673. The reversal of 53246149632 is 23694164235.

53246149632 is a `hidden beast` number, since 5 + 3 + 2 + 4 + 6 + 1 + 4 + 9 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 471204808 + ... + 471204920.

It is an arithmetic number, because the mean of its divisors is an integer number (215622792).

Almost surely, 253246149632 is an apocalyptic number.

53246149632 is a gapful number since it is divisible by the number (52) 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 53246149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94874028480).

53246149632 is an abundant number, since it is smaller than the sum of its proper divisors (136501907328).

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

53246149632 is a wasteful number, since it uses less digits than its factorization.

53246149632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 53246149632 in words is "fifty-three billion, two hundred forty-six million, one hundred forty-nine thousand, six hundred thirty-two".