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669481082964720 = 2435513109170914221
BaseRepresentation
bin1001100000111000111011011…
…0001000100100101011110000
310020210102202200202120021100000
42120032032312020210223300
51200222234224214332340
610331511210315030000
7261005261225012265
oct23016166610445360
93223382622507300
10669481082964720
11184354372aa8014
1263105b0413b300
1322973a45185a60
14bb470b337126c
15525eb15432d30
hex260e3b6224af0

669481082964720 has 960 divisors, whose sum is σ = 2535664750819200. Its totient is φ = 163176441200640.

The previous prime is 669481082964709. The next prime is 669481082964731. The reversal of 669481082964720 is 27469280184966.

669481082964720 is a `hidden beast` number, since 6 + 6 + 9 + 48 + 108 + 2 + 9 + 6 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (669481082964709) and next prime (669481082964731).

It is a super-2 number, since 2×6694810829647202 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

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, 47076927210 + ... + 47076941430.

It is an arithmetic number, because the mean of its divisors is an integer number (2641317448770).

Almost surely, 2669481082964720 is an apocalyptic number.

669481082964720 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 669481082964720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267832375409600).

669481082964720 is an abundant number, since it is smaller than the sum of its proper divisors (1866183667854480).

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

669481082964720 is a wasteful number, since it uses less digits than its factorization.

669481082964720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16080 (or 16062 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 669481082964720 in words is "six hundred sixty-nine trillion, four hundred eighty-one billion, eighty-two million, nine hundred sixty-four thousand, seven hundred twenty".