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53505899551872 = 2732131379935489
BaseRepresentation
bin11000010101001110100000…
…01000101101110010000000
321000110010002010200112120200
430022213100020231302000
524003120040241124442
6305444134304005200
714161450033053345
oct1412472010556200
9230403063615520
1053505899551872
11160597a7445969
126001975600800
1323b177a6c9c31
14d2d9b10667cc
1562bc27dcc34c
hex30a9d022dc80

53505899551872 has 192 divisors, whose sum is σ = 155553651396000. Its totient is φ = 17652434042880.

The previous prime is 53505899551859. The next prime is 53505899551877. The reversal of 53505899551872 is 27815599850535.

It is a happy number.

53505899551872 is a `hidden beast` number, since 5 + 3 + 50 + 58 + 9 + 9 + 5 + 518 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 53505899551872.

It is not an unprimeable number, because it can be changed into a prime (53505899551877) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 56727904 + ... + 57663392.

Almost surely, 253505899551872 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 53505899551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77776825698000).

53505899551872 is an abundant number, since it is smaller than the sum of its proper divisors (102047751844128).

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

53505899551872 is a wasteful number, since it uses less digits than its factorization.

53505899551872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936019 (or 936004 counting only the distinct ones).

The product of its (nonzero) digits is 680400000, while the sum is 72.

The spelling of 53505899551872 in words is "fifty-three trillion, five hundred five billion, eight hundred ninety-nine million, five hundred fifty-one thousand, eight hundred seventy-two".