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669479196672 = 2113211131767223
BaseRepresentation
bin10011011111000000001…
…00011101100000000000
32101000001011012221111200
421233200010131200000
541432043133243142
61231315434341200
766240214164426
oct11574004354000
92330034187450
10669479196672
11238a1960a3a0
12a98bb28a800
134b193217ac0
142458da4b116
15126348a664c
hex9be011d800

669479196672 has 1152 divisors, whose sum is σ = 2452087572480. Its totient is φ = 172842024960.

The previous prime is 669479196653. The next prime is 669479196697. The reversal of 669479196672 is 276691974966.

669479196672 is a `hidden beast` number, since 6 + 6 + 9 + 479 + 1 + 96 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

Its product of digits (370355328) is a multiple of the sum of its prime divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 669479196672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3002148753 + ... + 3002148975.

It is an arithmetic number, because the mean of its divisors is an integer number (2128548240).

Almost surely, 2669479196672 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 669479196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226043786240).

669479196672 is an abundant number, since it is smaller than the sum of its proper divisors (1782608375808).

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

669479196672 is a wasteful number, since it uses less digits than its factorization.

669479196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 336 counting only the distinct ones).

The product of its digits is 370355328, while the sum is 72.

The spelling of 669479196672 in words is "six hundred sixty-nine billion, four hundred seventy-nine million, one hundred ninety-six thousand, six hundred seventy-two".