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663976401 = 31189331683
BaseRepresentation
bin100111100100110…
…111100111010001
31201021101111101120
4213210313213101
52324434221101
6145515152453
722311464154
oct4744674721
91637344346
10663976401
11310885330
12166445729
13a773875a
146427bc9b
153d458b36
hex279379d1

663976401 has 32 divisors (see below), whose sum is σ = 981020160. Its totient is φ = 396105600.

The previous prime is 663976381. The next prime is 663976441. The reversal of 663976401 is 104679366.

It is not a de Polignac number, because 663976401 - 215 = 663943633 is a prime.

It is a super-2 number, since 2×6639764012 = 881729322169825602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (663976441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971806 + ... + 972488.

It is an arithmetic number, because the mean of its divisors is an integer number (30656880).

Almost surely, 2663976401 is an apocalyptic number.

It is an amenable number.

663976401 is a deficient number, since it is larger than the sum of its proper divisors (317043759).

663976401 is a wasteful number, since it uses less digits than its factorization.

663976401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117.

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 663976401 is about 25767.7395399752. The cubic root of 663976401 is about 872.4037987764.

The spelling of 663976401 in words is "six hundred sixty-three million, nine hundred seventy-six thousand, four hundred one".

Divisors: 1 3 11 33 89 267 331 683 979 993 2049 2937 3641 7513 10923 22539 29459 60787 88377 182361 226073 324049 668657 678219 972147 2005971 2486803 7460409 20120497 60361491 221325467 663976401