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669572076096 = 2632711191017867
BaseRepresentation
bin10011011111001011001…
…10110001001001000000
32101000021121222201010100
421233211212301021000
541432240422413341
61231332553202400
766242422512060
oct11574546611100
92330247881110
10669572076096
11238a66a88050
12a9926400400
134b1a9537541
142459c1073a0
151263cb013b6
hex9be59b1240

669572076096 has 672 divisors, whose sum is σ = 2543974917120. Its totient is φ = 163109376000.

The previous prime is 669572076079. The next prime is 669572076167. The reversal of 669572076096 is 690670275966.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6695720760962 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 85107555 + ... + 85115421.

It is an arithmetic number, because the mean of its divisors is an integer number (3785676960).

Almost surely, 2669572076096 is an apocalyptic number.

669572076096 is a gapful number since it is divisible by the number (66) 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 669572076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271987458560).

669572076096 is an abundant number, since it is smaller than the sum of its proper divisors (1874402841024).

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

669572076096 is a wasteful number, since it uses less digits than its factorization.

669572076096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8023 (or 8010 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 669572076096 in words is "six hundred sixty-nine billion, five hundred seventy-two million, seventy-six thousand, ninety-six".