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53532041472 = 28327131723653
BaseRepresentation
bin110001110110110000…
…100010000100000000
312010011201222110122200
4301312300202010000
51334113200311342
640331533233200
73603400562520
oct616660420400
9163151873580
1053532041472
1120780495098
12a45b932800
1350817475b0
14283b86d680
1515d49d094c
hexc76c22100

53532041472 has 864 divisors, whose sum is σ = 210205352448. Its totient is φ = 12690653184.

The previous prime is 53532041461. The next prime is 53532041527. The reversal of 53532041472 is 27414023535.

53532041472 is a `hidden beast` number, since 53 + 532 + 0 + 4 + 1 + 4 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81978298 + ... + 81978950.

It is an arithmetic number, because the mean of its divisors is an integer number (243293232).

Almost surely, 253532041472 is an apocalyptic number.

53532041472 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 53532041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105102676224).

53532041472 is an abundant number, since it is smaller than the sum of its proper divisors (156673310976).

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

53532041472 is a wasteful number, since it uses less digits than its factorization.

53532041472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 53532041472 in words is "fifty-three billion, five hundred thirty-two million, forty-one thousand, four hundred seventy-two".