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669235667746464 = 253372135328018191
BaseRepresentation
bin1001100000101010101001001…
…0001111110011111010100000
310020202120022020100112110102000
42120022222102033303322200
51200204224121420341324
610331202342123124000
7260651452503043200
oct23012522217637240
93222508210473360
10669235667746464
1118426a286561195
1263086433073600
1322956863c16390
14bb39271818400
15525854eda29c9
hex260aa923f3ea0

669235667746464 has 1152 divisors, whose sum is σ = 2492615357890560. Its totient is φ = 173088534528000.

The previous prime is 669235667746433. The next prime is 669235667746483. The reversal of 669235667746464 is 464647766532966.

669235667746464 is a `hidden beast` number, since 6 + 6 + 9 + 2 + 3 + 56 + 67 + 7 + 46 + 464 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81703776609 + ... + 81703784799.

It is an arithmetic number, because the mean of its divisors is an integer number (2163728609280).

Almost surely, 2669235667746464 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 669235667746464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246307678945280).

669235667746464 is an abundant number, since it is smaller than the sum of its proper divisors (1823379690144096).

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

669235667746464 is a wasteful number, since it uses less digits than its factorization.

669235667746464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11091 (or 11070 counting only the distinct ones).

The product of its digits is 39504568320, while the sum is 81.

The spelling of 669235667746464 in words is "six hundred sixty-nine trillion, two hundred thirty-five billion, six hundred sixty-seven million, seven hundred forty-six thousand, four hundred sixty-four".