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669122770464 = 25352389127331
BaseRepresentation
bin10011011110010101101…
…00110011011000100000
32100222010022112121200000
421233022310303120200
541430330412123324
61231220223100000
766225325464111
oct11571264633040
92328108477600
10669122770464
112388563a6085
12a981ba41600
134b137421915
142455858a208
151261344d9c9
hex9bcad33620

669122770464 has 576 divisors, whose sum is σ = 2104959467520. Its totient is φ = 208653096960.

The previous prime is 669122770457. The next prime is 669122770489. The reversal of 669122770464 is 464077221966.

669122770464 is a `hidden beast` number, since 6 + 6 + 91 + 2 + 27 + 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 669122770464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2021518779 + ... + 2021519109.

It is an arithmetic number, because the mean of its divisors is an integer number (3654443520).

Almost surely, 2669122770464 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 669122770464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052479733760).

669122770464 is an abundant number, since it is smaller than the sum of its proper divisors (1435836697056).

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

669122770464 is a wasteful number, since it uses less digits than its factorization.

669122770464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 669122770464 in words is "six hundred sixty-nine billion, one hundred twenty-two million, seven hundred seventy thousand, four hundred sixty-four".