Search a number
-
+
53368870464 = 2634713113131
BaseRepresentation
bin110001101101000010…
…000101011001000000
312002202100221112010000
4301231002011121000
51333244412323324
640303424040000
73566346625350
oct615502053100
9162670845100
1053368870464
11206a7377318
12a415163000
1350569b66c0
142823d16b60
1515c54ed9c9
hexc6d085640

53368870464 has 280 divisors, whose sum is σ = 194711937728. Its totient is φ = 14075182080.

The previous prime is 53368870439. The next prime is 53368870469. The reversal of 53368870464 is 46407886335.

53368870464 is a `hidden beast` number, since 5 + 3 + 36 + 88 + 70 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53368870464.

It is not an unprimeable number, because it can be changed into a prime (53368870469) 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 39 ways as a sum of consecutive naturals, for example, 415179 + ... + 528309.

Almost surely, 253368870464 is an apocalyptic number.

53368870464 is a gapful number since it is divisible by the number (54) 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 53368870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97355968864).

53368870464 is an abundant number, since it is smaller than the sum of its proper divisors (141343067264).

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

53368870464 is a wasteful number, since it uses less digits than its factorization.

53368870464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113175 (or 113156 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 53368870464 in words is "fifty-three billion, three hundred sixty-eight million, eight hundred seventy thousand, four hundred sixty-four".