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5820327864 = 23321315739607
BaseRepresentation
bin1010110101110101…
…10010011110111000
3120000121222021211200
411122322302132320
543410000442424
62401313454200
7264142653621
oct53272623670
916017867750
105820327864
11251747251a
121165271360
13719aab1b0
143d2ddca48
15240e968c9
hex15aeb27b8

5820327864 has 96 divisors (see below), whose sum is σ = 17084514720. Its totient is φ = 1779418368.

The previous prime is 5820327853. The next prime is 5820327881. The reversal of 5820327864 is 4687230285.

5820327864 is a `hidden beast` number, since 582 + 0 + 3 + 2 + 7 + 8 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127149 + ... + 166755.

It is an arithmetic number, because the mean of its divisors is an integer number (177963695).

Almost surely, 25820327864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5820327864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542257360).

5820327864 is an abundant number, since it is smaller than the sum of its proper divisors (11264186856).

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

5820327864 is a wasteful number, since it uses less digits than its factorization.

5820327864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39789 (or 39782 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 5820327864 is about 76291.0732917030. The cubic root of 5820327864 is about 1798.7983609546.

The spelling of 5820327864 in words is "five billion, eight hundred twenty million, three hundred twenty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 157 234 312 314 468 471 628 936 942 1256 1413 1884 2041 2826 3768 4082 5652 6123 8164 11304 12246 16328 18369 24492 36738 39607 48984 73476 79214 118821 146952 158428 237642 316856 356463 475284 514891 712926 950568 1029782 1425852 1544673 2059564 2851704 3089346 4119128 4634019 6178692 6218299 9268038 12357384 12436598 18536076 18654897 24873196 37072152 37309794 49746392 55964691 74619588 80837887 111929382 149239176 161675774 223858764 242513661 323351548 447717528 485027322 646703096 727540983 970054644 1455081966 1940109288 2910163932 5820327864