Search a number
-
+
53364019968 = 283372157561
BaseRepresentation
bin110001101100101111…
…100101001100000000
312002202000211002111000
4301230233211030000
51333242142114333
640303132052000
73566260454100
oct615457451400
9162660732430
1053364019968
11206a4664046
12a413604000
1350559a899c
142823413200
1515c4d91713
hexc6cbe5300

53364019968 has 216 divisors, whose sum is σ = 183572334960. Its totient is φ = 15246766080.

The previous prime is 53364019931. The next prime is 53364019979. The reversal of 53364019968 is 86991046335.

53364019968 is a `hidden beast` number, since 533 + 6 + 4 + 0 + 19 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259908 + ... + 417468.

Almost surely, 253364019968 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 53364019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91786167480).

53364019968 is an abundant number, since it is smaller than the sum of its proper divisors (130208314992).

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

53364019968 is a wasteful number, since it uses less digits than its factorization.

53364019968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157600 (or 157573 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 53364019968 in words is "fifty-three billion, three hundred sixty-four million, nineteen thousand, nine hundred sixty-eight".