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8345640264 = 2331379547619
BaseRepresentation
bin1111100010111000…
…00101110101001000
3210112121210110012120
413301130011311020
5114042440442024
63500044011240
7413545525503
oct76134056510
923477713176
108345640264
1135a2995065
12174ab30b20
13a30030aa0
1459255c13a
1533ca22479
hex1f1705d48

8345640264 has 128 divisors (see below), whose sum is σ = 22831872000. Its totient is φ = 2526660864.

The previous prime is 8345640253. The next prime is 8345640307. The reversal of 8345640264 is 4620465438.

It is a super-2 number, since 2×83456402642 (a number of 21 digits) contains 22 as substring.

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, 13482147 + ... + 13482765.

It is an arithmetic number, because the mean of its divisors is an integer number (178374000).

Almost surely, 28345640264 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 8345640264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11415936000).

8345640264 is an abundant number, since it is smaller than the sum of its proper divisors (14486231736).

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

8345640264 is a wasteful number, since it uses less digits than its factorization.

8345640264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The square root of 8345640264 is about 91354.4758837792. The cubic root of 8345640264 is about 2028.3982174567.

The spelling of 8345640264 in words is "eight billion, three hundred forty-five million, six hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 547 619 632 948 1027 1094 1238 1641 1857 1896 2054 2188 2476 3081 3282 3714 4108 4376 4952 6162 6564 7111 7428 8047 8216 12324 13128 14222 14856 16094 21333 24141 24648 28444 32188 42666 43213 48282 48901 56888 64376 85332 86426 96564 97802 129639 146703 170664 172852 193128 195604 259278 293406 338593 345704 391208 518556 561769 586812 635713 677186 1015779 1037112 1123538 1173624 1271426 1354372 1685307 1907139 2031558 2247076 2542852 2708744 3370614 3814278 4063116 4401709 4494152 5085704 6741228 7628556 8126232 8803418 13205127 13482456 15257112 17606836 26410254 26748847 35213672 52820508 53497694 80246541 105641016 106995388 160493082 213990776 320986164 347735011 641972328 695470022 1043205033 1390940044 2086410066 2781880088 4172820132 8345640264