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53672426945280 = 283651113230941
BaseRepresentation
bin11000011010000100101011…
…11100010011101100000000
321001001000220201100122000000
430031002111330103230000
524013332112244222110
6310052434512000000
714206463526413133
oct1415022574235400
9231030821318000
1053672426945280
1116113391856330
12602a0ab230000
1323c4399089100
14d37a8b83221a
1563122292c1c0
hex30d095f13b00

53672426945280 has 1512 divisors, whose sum is σ = 227705242743216. Its totient is φ = 12010224844800.

The previous prime is 53672426945279. The next prime is 53672426945303. The reversal of 53672426945280 is 8254962427635.

53672426945280 is a `hidden beast` number, since 5 + 3 + 6 + 7 + 2 + 42 + 69 + 4 + 528 + 0 = 666.

It is a super-2 number, since 2×536724269452802 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1734654610 + ... + 1734685550.

It is an arithmetic number, because the mean of its divisors is an integer number (150598705518).

Almost surely, 253672426945280 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 53672426945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113852621371608).

53672426945280 is an abundant number, since it is smaller than the sum of its proper divisors (174032815797936).

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

53672426945280 is a wasteful number, since it uses less digits than its factorization.

53672426945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31017 (or 30975 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 53672426945280 in words is "fifty-three trillion, six hundred seventy-two billion, four hundred twenty-six million, nine hundred forty-five thousand, two hundred eighty".