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53610457139712 = 29381117312753
BaseRepresentation
bin11000011000010001010000…
…10000010000101000000000
321000211002221221020100000000
430030020220100100220000
524011323204011432322
6310004145400000000
714202141050642064
oct1414105020205000
9230732857210000
1053610457139712
111609a081485190
12601a095760000
1323bb5a14c71c5
14d34a8d503aa4
1562e7e72cd3ac
hex30c228410a00

53610457139712 has 1440 divisors, whose sum is σ = 191638397643264. Its totient is φ = 14791370342400.

The previous prime is 53610457139699. The next prime is 53610457139713. The reversal of 53610457139712 is 21793175401635.

53610457139712 is a `hidden beast` number, since 5 + 3 + 61 + 0 + 4 + 571 + 3 + 9 + 7 + 1 + 2 = 666.

It is a super-2 number, since 2×536104571397122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53610457139713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19473466528 + ... + 19473469280.

Almost surely, 253610457139712 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 53610457139712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95819198821632).

53610457139712 is an abundant number, since it is smaller than the sum of its proper divisors (138027940503552).

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

53610457139712 is an equidigital number, since it uses as much as digits as its factorization.

53610457139712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 53610457139712 in words is "fifty-three trillion, six hundred ten billion, four hundred fifty-seven million, one hundred thirty-nine thousand, seven hundred twelve".