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268997630034 = 237172943302123
BaseRepresentation
bin1111101010000110000…
…0100001100001010010
3221201022220111110021110
43322201200201201102
513401401343130114
6323324212434150
725302004062150
oct3724140414122
9851286443243
10268997630034
11a4099170941
1244172918956
131c49bba99b3
14d03b9303d0
156ee5a86759
hex3ea1821852

268997630034 has 128 divisors (see below), whose sum is σ = 689132759040. Its totient is φ = 68216730624.

The previous prime is 268997630003. The next prime is 268997630081. The reversal of 268997630034 is 430036799862.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739297 + ... + 1041419.

It is an arithmetic number, because the mean of its divisors is an integer number (5383849680).

Almost surely, 2268997630034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268997630034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344566379520).

268997630034 is an abundant number, since it is smaller than the sum of its proper divisors (420135129006).

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

268997630034 is a wasteful number, since it uses less digits than its factorization.

268997630034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302224.

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 268997630034 in words is "two hundred sixty-eight billion, nine hundred ninety-seven million, six hundred thirty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 17 21 29 34 42 43 51 58 86 87 102 119 129 174 203 238 258 301 357 406 493 602 609 714 731 903 986 1218 1247 1462 1479 1806 2193 2494 2958 3451 3741 4386 5117 6902 7482 8729 10234 10353 15351 17458 20706 21199 26187 30702 42398 52374 63597 127194 148393 296786 302123 445179 604246 890358 906369 1812738 2114861 4229722 5136091 6344583 8761567 10272182 12689166 12991289 15408273 17523134 25982578 26284701 30816546 35952637 38973867 52569402 61330969 71905274 77947734 90939023 107857911 122661938 148946639 181878046 183992907 215715822 220851913 272817069 297893278 367985814 376747381 441703826 446839917 545634138 662555739 753494762 893679834 1042626473 1130242143 1325111478 1545963391 2085252946 2260484286 2637231667 3091926782 3127879419 4637890173 5274463334 6255758838 6404705477 7911695001 9275780346 12809410954 15823390002 19214116431 38428232862 44832938339 89665876678 134498815017 268997630034