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53601696851472 = 243371141187720939
BaseRepresentation
bin11000011000000000111100…
…00110011010011000010000
321000210021100102012120201000
430030000132012122120100
524011202233343221342
6310000140220342000
714201411005503120
oct1414003606323020
9230707312176630
1053601696851472
111609639652aa50
12601844b9a4900
1323ba8065c67b3
14d3449bc8ac80
1562e4831a244c
hex30c01e19a610

53601696851472 has 640 divisors, whose sum is σ = 196614015897600. Its totient is φ = 13575060172800.

The previous prime is 53601696851399. The next prime is 53601696851473. The reversal of 53601696851472 is 27415869610635.

It is a happy number.

53601696851472 is a `hidden beast` number, since 5 + 3 + 60 + 16 + 96 + 8 + 5 + 1 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (53601696851473) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2559887179 + ... + 2559908117.

It is an arithmetic number, because the mean of its divisors is an integer number (307209399840).

It is a 1-persistent number, because it is pandigital, but 2⋅53601696851472 = 107203393702944 is not.

Almost surely, 253601696851472 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 53601696851472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98307007948800).

53601696851472 is an abundant number, since it is smaller than the sum of its proper divisors (143012319046128).

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

53601696851472 is a wasteful number, since it uses less digits than its factorization.

53601696851472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22892 (or 22880 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 53601696851472 in words is "fifty-three trillion, six hundred one billion, six hundred ninety-six million, eight hundred fifty-one thousand, four hundred seventy-two".