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53390847346848 = 2533112691173897
BaseRepresentation
bin11000010001111000001100…
…11111011000100010100000
321000001010002221122221211000
430020330012133120202200
523444223423410044343
6305315225555552000
714150234653335234
oct1410740637304240
9230033087587730
1053390847346848
1116014a27481400
125ba36068bb600
1323a39735c34cb
14d281b8cb25c4
15628c424b9ed3
hex308f067d88a0

53390847346848 has 288 divisors, whose sum is σ = 171194022236160. Its totient is φ = 16176484684800.

The previous prime is 53390847346847. The next prime is 53390847346877. The reversal of 53390847346848 is 84864374809335.

53390847346848 is a `hidden beast` number, since 5 + 3 + 3 + 90 + 8 + 4 + 73 + 468 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×533908473468482 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (53390847346847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 722466636 + ... + 722540532.

It is an arithmetic number, because the mean of its divisors is an integer number (594423688320).

Almost surely, 253390847346848 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 53390847346848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85597011118080).

53390847346848 is an abundant number, since it is smaller than the sum of its proper divisors (117803174889312).

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

53390847346848 is a wasteful number, since it uses less digits than its factorization.

53390847346848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80849 (or 80824 counting only the distinct ones).

The product of its (nonzero) digits is 1672151040, while the sum is 72.

The spelling of 53390847346848 in words is "fifty-three trillion, three hundred ninety billion, eight hundred forty-seven million, three hundred forty-six thousand, eight hundred forty-eight".