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665679409920 = 283757223211
BaseRepresentation
bin10011010111111011001…
…01011011001100000000
32100122020100020210000000
421223331211123030000
541401302412104140
61225450420000000
766044104424100
oct11537545331400
92318210223000
10665679409920
11237349744368
12a901a830000
134aa08c26785
142430d133200
15124b0ecda30
hex9afd95b300

665679409920 has 1728 divisors, whose sum is σ = 2916540103680. Its totient is φ = 144850083840.

The previous prime is 665679409891. The next prime is 665679409949. The reversal of 665679409920 is 29904976566.

665679409920 is a `hidden beast` number, since 6 + 6 + 567 + 9 + 40 + 9 + 9 + 20 = 666.

665679409920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (665679409891) and next prime (665679409949).

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 3154878615 + ... + 3154878825.

It is an arithmetic number, because the mean of its divisors is an integer number (1687812560).

Almost surely, 2665679409920 is an apocalyptic number.

665679409920 is a gapful number since it is divisible by the number (60) 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 665679409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458270051840).

665679409920 is an abundant number, since it is smaller than the sum of its proper divisors (2250860693760).

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

665679409920 is an equidigital number, since it uses as much as digits as its factorization.

665679409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 665679409920 in words is "six hundred sixty-five billion, six hundred seventy-nine million, four hundred nine thousand, nine hundred twenty".