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53997695136 = 253271117433331
BaseRepresentation
bin110010010010100000…
…110111000010100000
312011101012012010101200
4302102200313002200
51341041402221021
640450050001200
73621053556420
oct622240670240
9164335163350
1053997695136
112099a322630
12a56b876200
1351270652c8
142883644480
151610812126
hexc928370a0

53997695136 has 576 divisors, whose sum is σ = 207484333056. Its totient is φ = 12889497600.

The previous prime is 53997695131. The next prime is 53997695177. The reversal of 53997695136 is 63159679935.

53997695136 is a `hidden beast` number, since 53 + 9 + 9 + 7 + 69 + 513 + 6 = 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 (53997695131) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16208991 + ... + 16212321.

It is an arithmetic number, because the mean of its divisors is an integer number (360215856).

Almost surely, 253997695136 is an apocalyptic number.

53997695136 is a gapful number since it is divisible by the number (56) 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 53997695136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103742166528).

53997695136 is an abundant number, since it is smaller than the sum of its proper divisors (153486637920).

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

53997695136 is a wasteful number, since it uses less digits than its factorization.

53997695136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3414 counting only the distinct ones).

The product of its digits is 41334300, while the sum is 63.

The spelling of 53997695136 in words is "fifty-three billion, nine hundred ninety-seven million, six hundred ninety-five thousand, one hundred thirty-six".