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6241340664 = 23321344914851
BaseRepresentation
bin1011101000000001…
…10100110011111000
3121002222011221211100
411310000310303320
5100240240400124
62511153331400
7310444343316
oct56400646370
917088157740
106241340664
11271308a689
121262266b60
13786098bb0
14432cb30b6
15267e0b1c9
hex174034cf8

6241340664 has 96 divisors (see below), whose sum is σ = 18245682000. Its totient is φ = 1916006400.

The previous prime is 6241340653. The next prime is 6241340683. The reversal of 6241340664 is 4660431426.

6241340664 is a `hidden beast` number, since 6 + 241 + 3 + 406 + 6 + 4 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412839 + ... + 427689.

Almost surely, 26241340664 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 6241340664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9122841000).

6241340664 is an abundant number, since it is smaller than the sum of its proper divisors (12004341336).

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

6241340664 is a wasteful number, since it uses less digits than its factorization.

6241340664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15325 (or 15318 counting only the distinct ones).

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

The square root of 6241340664 is about 79002.1560718440. The cubic root of 6241340664 is about 1841.1646556953.

The spelling of 6241340664 in words is "six billion, two hundred forty-one million, three hundred forty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 449 468 898 936 1347 1796 2694 3592 4041 5388 5837 8082 10776 11674 14851 16164 17511 23348 29702 32328 35022 44553 46696 52533 59404 70044 89106 105066 118808 133659 140088 178212 193063 210132 267318 356424 386126 420264 534636 579189 772252 1069272 1158378 1544504 1737567 2316756 3475134 4633512 6668099 6950268 13336198 13900536 20004297 26672396 40008594 53344792 60012891 80017188 86685287 120025782 160034376 173370574 240051564 260055861 346741148 480103128 520111722 693482296 780167583 1040223444 1560335166 2080446888 3120670332 6241340664