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2659267988664 = 2337312631941491
BaseRepresentation
bin100110101100101000101…
…110010100110010111000
3100102020000221212200102120
4212230220232110302320
5322032140101114124
65353352330001240
7363061065642660
oct46545056246270
910366027780376
102659267988664
119358754a84a1
1236b473576220
131639ca0b2051
14929d02b91a0
15492911a5d79
hex26b28b94cb8

2659267988664 has 128 divisors (see below), whose sum is σ = 7872827719680. Its totient is φ = 732485347200.

The previous prime is 2659267988647. The next prime is 2659267988693. The reversal of 2659267988664 is 4668897629562.

It is a self number, because there is not a number n which added to its sum of digits gives 2659267988664.

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, 398959 + ... + 2340449.

It is an arithmetic number, because the mean of its divisors is an integer number (61506466560).

Almost surely, 22659267988664 is an apocalyptic number.

2659267988664 is a gapful number since it is divisible by the number (24) 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 2659267988664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936413859840).

2659267988664 is an abundant number, since it is smaller than the sum of its proper divisors (5213559731016).

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

2659267988664 is a wasteful number, since it uses less digits than its factorization.

2659267988664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941801 (or 1941797 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 78.

The spelling of 2659267988664 in words is "two trillion, six hundred fifty-nine billion, two hundred sixty-seven million, nine hundred eighty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 263 372 434 526 651 744 789 868 1052 1302 1578 1736 1841 2104 2604 3156 3682 5208 5523 6312 7364 8153 11046 14728 16306 22092 24459 32612 44184 48918 57071 65224 97836 114142 171213 195672 228284 342426 456568 684852 1369704 1941491 3882982 5824473 7765964 11648946 13590437 15531928 23297892 27180874 40771311 46595784 54361748 60186221 81542622 108723496 120372442 163085244 180558663 240744884 326170488 361117326 421303547 481489768 510612133 722234652 842607094 1021224266 1263910641 1444469304 1531836399 1685214188 2042448532 2527821282 3063672798 3370428376 3574284931 4084897064 5055642564 6127345596 7148569862 10111285128 10722854793 12254691192 14297139724 15828976123 21445709586 28594279448 31657952246 42891419172 47486928369 63315904492 85782838344 94973856738 110802832861 126631808984 189947713476 221605665722 332408498583 379895426952 443211331444 664816997166 886422662888 1329633994332 2659267988664