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5820468732 = 22331341101113
BaseRepresentation
bin1010110101110110…
…10100110111111100
3120000122020110002000
411122323110313330
543410014444412
62401320502300
7264144111411
oct53273246774
916018213060
105820468732
112517559341
12116531a990
13719b2a350
143d3038108
15240ec34dc
hex15aed4dfc

5820468732 has 96 divisors (see below), whose sum is σ = 16647408960. Its totient is φ = 1747215360.

The previous prime is 5820468727. The next prime is 5820468763. The reversal of 5820468732 is 2378640285.

5820468732 is a `hidden beast` number, since 582 + 0 + 4 + 68 + 7 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7008 + ... + 108120.

It is an arithmetic number, because the mean of its divisors is an integer number (173410510).

Almost surely, 25820468732 is an apocalyptic number.

5820468732 is a gapful number since it is divisible by the number (52) 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 5820468732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323704480).

5820468732 is an abundant number, since it is smaller than the sum of its proper divisors (10826940228).

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

5820468732 is a wasteful number, since it uses less digits than its factorization.

5820468732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101180 (or 101172 counting only the distinct ones).

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

The square root of 5820468732 is about 76291.9965133958. The cubic root of 5820468732 is about 1798.8128727993.

It can be divided in two parts, 5820 and 468732, that added together give a cube (474552 = 783).

The spelling of 5820468732 in words is "five billion, eight hundred twenty million, four hundred sixty-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 234 246 351 369 468 492 533 702 738 1066 1107 1404 1476 1599 2132 2214 3198 4428 4797 6396 9594 14391 19188 28782 57564 101113 202226 303339 404452 606678 910017 1213356 1314469 1820034 2628938 2730051 3640068 3943407 4145633 5257876 5460102 7886814 8291266 10920204 11830221 12436899 15773628 16582532 23660442 24873798 35490663 37310697 47320884 49747596 53893229 70981326 74621394 107786458 111932091 141962652 149242788 161679687 215572916 223864182 323359374 447728364 485039061 646718748 970078122 1455117183 1940156244 2910234366 5820468732