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2064260646 = 233725121757
BaseRepresentation
bin111101100001010…
…0001111000100110
312022212021022021000
41323002201320212
513211422320041
6540500134130
7102103632420
oct17302417046
95285238230
102064260646
1196a248638
12497397346
1326b886706
14158225810
15c1357bb6
hex7b0a1e26

2064260646 has 64 divisors (see below), whose sum is σ = 5263695360. Its totient is φ = 587412000.

The previous prime is 2064260591. The next prime is 2064260651. The reversal of 2064260646 is 6460624602.

2064260646 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 2 + 6 + 0 + 646 = 666.

It is a super-2 number, since 2×20642606462 = 8522344029248674632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2064260646.

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, 84000 + ... + 105756.

It is an arithmetic number, because the mean of its divisors is an integer number (82245240).

Almost surely, 22064260646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064260646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631847680).

2064260646 is an abundant number, since it is smaller than the sum of its proper divisors (3199434714).

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

2064260646 is a wasteful number, since it uses less digits than its factorization.

2064260646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22026 (or 22020 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2064260646 is about 45434.1352509322. The cubic root of 2064260646 is about 1273.2729447131.

The spelling of 2064260646 in words is "two billion, sixty-four million, two hundred sixty thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 251 378 502 753 1506 1757 2259 3514 4518 5271 6777 10542 13554 15813 21757 31626 43514 47439 65271 94878 130542 152299 195813 304598 391626 456897 587439 913794 1174878 1370691 2741382 4112073 5461007 8224146 10922014 16383021 32766042 38227049 49149063 76454098 98298126 114681147 147447189 229362294 294894378 344043441 688086882 1032130323 2064260646