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6311038001364 = 22321710312153597
BaseRepresentation
bin101101111010110011100…
…1011011010000011010100
3211100022220002102010221200
41123311213023122003110
51311400001212020424
621231130102512500
71220646255621525
oct133654713320324
924308802363850
106311038001364
112013550472528
1285b155a35730
1336a188c2cc55
1417b654c9484c
15ae2706e08c9
hex5bd672da0d4

6311038001364 has 36 divisors (see below), whose sum is σ = 16891307593524. Its totient is φ = 1979933490432.

The previous prime is 6311038001339. The next prime is 6311038001423. The reversal of 6311038001364 is 4631008301136.

6311038001364 is a `hidden beast` number, since 631 + 1 + 0 + 3 + 8 + 0 + 0 + 13 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4684540784400 + 1626497216964 = 2164380^2 + 1275342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5156076187 + ... + 5156077410.

It is an arithmetic number, because the mean of its divisors is an integer number (469202988709).

Almost surely, 26311038001364 is an apocalyptic number.

It is an amenable number.

6311038001364 is an abundant number, since it is smaller than the sum of its proper divisors (10580269592160).

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

6311038001364 is a wasteful number, since it uses less digits than its factorization.

6311038001364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10312153624 (or 10312153619 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 6311038001364 in words is "six trillion, three hundred eleven billion, thirty-eight million, one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 10312153597 20624307194 30936460791 41248614388 61872921582 92809382373 123745843164 175306611149 185618764746 350613222298 371237529492 525919833447 701226444596 1051839666894 1577759500341 2103679333788 3155519000682 6311038001364