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2669124304 = 2471117314111
BaseRepresentation
bin1001111100010111…
…1001101011010000
320220000102120012201
42133011321223100
520431243434204
61120504332544
7123100116340
oct23705715320
96800376181
102669124304
11114a718660
12625a74154
13336c95cc2
141b46b6d20
151094d69a4
hex9f179ad0

2669124304 has 160 divisors (see below), whose sum is σ = 7048691712. Its totient is φ = 946944000.

The previous prime is 2669124239. The next prime is 2669124373. The reversal of 2669124304 is 4034219662.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647209 + ... + 651319.

Almost surely, 22669124304 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 2669124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524345856).

2669124304 is an abundant number, since it is smaller than the sum of its proper divisors (4379567408).

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

2669124304 is a wasteful number, since it uses less digits than its factorization.

2669124304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4185 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 2669124304 is about 51663.5684404397. The cubic root of 2669124304 is about 1387.1484255350.

It can be divided in two parts, 266912 and 4304, that added together give a triangular number (271216 = T736).

The spelling of 2669124304 in words is "two billion, six hundred sixty-nine million, one hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 31 34 44 56 62 68 77 88 112 119 124 136 154 176 187 217 238 248 272 308 341 374 434 476 496 527 616 682 748 868 952 1054 1232 1309 1364 1496 1736 1904 2108 2387 2618 2728 2992 3472 3689 4111 4216 4774 5236 5456 5797 7378 8222 8432 9548 10472 11594 14756 16444 19096 20944 23188 28777 29512 32888 38192 40579 45221 46376 57554 59024 65776 69887 81158 90442 92752 115108 127441 139774 162316 180884 230216 254882 279548 316547 324632 361768 460432 489209 509764 559096 633094 649264 723536 768757 892087 978418 1019528 1118192 1266188 1401851 1537514 1784174 1956836 2039056 2166497 2532376 2803702 3075028 3568348 3913672 4332994 5064752 5381299 5607404 6150056 7136696 7827344 8665988 9812957 10762598 11214808 12300112 14273392 15165479 17331976 19625914 21525196 22429616 23831467 30330958 34663952 39251828 43050392 47662934 60661916 78503656 86100784 95325868 121323832 157007312 166820269 190651736 242647664 333640538 381303472 667281076 1334562152 2669124304