Search a number
-
+
64552154969088 = 21032312531131217
BaseRepresentation
bin11101010110101101110000…
…10001000011010000000000
322110120010101200001212121200
432223112320101003100000
531430110303133002323
6345142503421421200
716411511401642533
oct1653267021032000
9273503350055550
1064552154969088
1119628462677406
1272a678210a800
132a0331bb5a637
1411d24ab8a4a1a
1576e23a30a443
hex3ab5b8443400

64552154969088 has 792 divisors, whose sum is σ = 198132784451784. Its totient is φ = 20232945008640.

The previous prime is 64552154969069. The next prime is 64552154969117. The reversal of 64552154969088 is 88096945125546.

64552154969088 is a `hidden beast` number, since 6 + 4 + 5 + 52 + 1 + 5 + 496 + 9 + 0 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 607950802944 + 63944204166144 = 779712^2 + 7996512^2 .

It is a super-2 number, since 2×645521549690882 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53042033056 + ... + 53042034272.

Almost surely, 264552154969088 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 64552154969088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066392225892).

64552154969088 is an abundant number, since it is smaller than the sum of its proper divisors (133580629482696).

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

64552154969088 is a wasteful number, since it uses less digits than its factorization.

64552154969088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 746496000, while the sum is 72.

The spelling of 64552154969088 in words is "sixty-four trillion, five hundred fifty-two billion, one hundred fifty-four million, nine hundred sixty-nine thousand, eighty-eight".