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2129159424 = 28371723297
BaseRepresentation
bin111111011101000…
…0110010100000000
312111101101111122110
41332322012110000
513330031100144
6551135135320
7103522361610
oct17672062400
95441344573
102129159424
119a2944a97
124b5074540
1327c15a362
14162abaa40
15c6dc70b9
hex7ee86500

2129159424 has 144 divisors (see below), whose sum is σ = 6857440128. Its totient is φ = 572522496.

The previous prime is 2129159401. The next prime is 2129159443. The reversal of 2129159424 is 4249519212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79744 + ... + 103040.

It is an arithmetic number, because the mean of its divisors is an integer number (47621112).

Almost surely, 22129159424 is an apocalyptic number.

2129159424 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 2129159424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428720064).

2129159424 is an abundant number, since it is smaller than the sum of its proper divisors (4728280704).

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

2129159424 is a wasteful number, since it uses less digits than its factorization.

2129159424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23340 (or 23326 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 2129159424 is about 46142.8155187782. The cubic root of 2129159424 is about 1286.4790761024.

The spelling of 2129159424 in words is "two billion, one hundred twenty-nine million, one hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1088 1344 1428 1632 1792 1904 2176 2688 2856 3264 3808 4352 5376 5712 6528 7616 11424 13056 15232 22848 23297 30464 45696 46594 69891 91392 93188 139782 163079 186376 279564 326158 372752 396049 489237 559128 652316 745504 792098 978474 1118256 1188147 1304632 1491008 1584196 1956948 2236512 2376294 2609264 2772343 2982016 3168392 3913896 4473024 4752588 5218528 5544686 5964032 6336784 7827792 8317029 8946048 9505176 10437056 11089372 12673568 15655584 16634058 17892096 19010352 20874112 22178744 25347136 31311168 33268116 38020704 41748224 44357488 50694272 62622336 66536232 76041408 88714976 101388544 125244672 133072464 152082816 177429952 266144928 304165632 354859904 532289856 709719808 1064579712 2129159424