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53896987872 = 25387213231
BaseRepresentation
bin110010001100100000…
…101100010011100000
312011010011200200000000
4302030200230103200
51340340112102442
640432051300000
73615421560300
oct621440542340
9164104620000
1053896987872
1120948498792
12a541baa600
13510c234900
14287410b600
151606a6cd4c
hexc8c82c4e0

53896987872 has 972 divisors, whose sum is σ = 206945365536. Its totient is φ = 13756055040.

The previous prime is 53896987819. The next prime is 53896987883. The reversal of 53896987872 is 27878969835.

53896987872 is a `hidden beast` number, since 538 + 9 + 6 + 9 + 8 + 7 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

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

Its product of digits (365783040) is a multiple of the sum of its prime divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 53896987872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1738612497 + ... + 1738612527.

Almost surely, 253896987872 is an apocalyptic number.

53896987872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53896987872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103472682768).

53896987872 is an abundant number, since it is smaller than the sum of its proper divisors (153048377664).

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

53896987872 is an equidigital number, since it uses as much as digits as its factorization.

53896987872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 56 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 53896987872 in words is "fifty-three billion, eight hundred ninety-six million, nine hundred eighty-seven thousand, eight hundred seventy-two".