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5834700864 = 26345991879
BaseRepresentation
bin1010110111100011…
…00111100001000000
3120001122000111220000
411123301213201000
543422140411424
62402545520000
7264406065456
oct53361474100
916048014800
105834700864
11252459a133
12116a043000
1371ca71325
143d4ca09d6
152423853c9
hex15bc67840

5834700864 has 140 divisors (see below), whose sum is σ = 17333976000. Its totient is φ = 1940620032.

The previous prime is 5834700863. The next prime is 5834700869. The reversal of 5834700864 is 4680074385.

5834700864 is a `hidden beast` number, since 583 + 4 + 7 + 0 + 0 + 8 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (5834700863) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3104277 + ... + 3106155.

Almost surely, 25834700864 is an apocalyptic number.

5834700864 is a gapful number since it is divisible by the number (54) 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 5834700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8666988000).

5834700864 is an abundant number, since it is smaller than the sum of its proper divisors (11499275136).

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

5834700864 is a wasteful number, since it uses less digits than its factorization.

5834700864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2483 counting only the distinct ones).

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

The square root of 5834700864 is about 76385.2136476687. The cubic root of 5834700864 is about 1800.2778237833.

The spelling of 5834700864 in words is "five billion, eight hundred thirty-four million, seven hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 599 648 864 1198 1296 1728 1797 1879 2396 2592 3594 3758 4792 5184 5391 5637 7188 7516 9584 10782 11274 14376 15032 16173 16911 19168 21564 22548 28752 30064 32346 33822 38336 43128 45096 48519 50733 57504 60128 64692 67644 86256 90192 97038 101466 115008 120256 129384 135288 152199 172512 180384 194076 202932 258768 270576 304398 345024 360768 388152 405864 517536 541152 608796 776304 811728 1035072 1082304 1125521 1217592 1552608 1623456 2251042 2435184 3105216 3246912 3376563 4502084 4870368 6753126 9004168 9740736 10129689 13506252 18008336 20259378 27012504 30389067 36016672 40518756 54025008 60778134 72033344 81037512 91167201 108050016 121556268 162075024 182334402 216100032 243112536 324150048 364668804 486225072 648300096 729337608 972450144 1458675216 1944900288 2917350432 5834700864