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53670591396240 = 24357213838814801
BaseRepresentation
bin11000011010000001010001…
…00010001111100110010000
321001000212011210110002002020
430031000220202033212100
524013314332344134430
6310051532421451440
714206400200456200
oct1415005042174620
9231025153402066
1053670591396240
111611262a721155
126029878570b80
1323c4165a00410
14d37955b44400
15631166700b10
hex30d02888f990

53670591396240 has 960 divisors, whose sum is σ = 211225260218112. Its totient is φ = 11172446208000.

The previous prime is 53670591396239. The next prime is 53670591396269. The reversal of 53670591396240 is 4269319507635.

It is a super-2 number, since 2×536705913962402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11179041840 + ... + 11179046640.

Almost surely, 253670591396240 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 53670591396240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105612630109056).

53670591396240 is an abundant number, since it is smaller than the sum of its proper divisors (157554668821872).

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

53670591396240 is a wasteful number, since it uses less digits than its factorization.

53670591396240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 60.

The spelling of 53670591396240 in words is "fifty-three trillion, six hundred seventy billion, five hundred ninety-one million, three hundred ninety-six thousand, two hundred forty".