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29349965520 = 2433517799291
BaseRepresentation
bin11011010101011001…
…001110111011010000
32210202110010201201000
4123111121032323100
5440102042344040
621252211342000
72056214406411
oct332531167320
983673121630
1029349965520
11114a1321557
1258312b1900
1329c97cb505
1415c5d99808
15b6ba26130
hex6d564eed0

29349965520 has 160 divisors (see below), whose sum is σ = 107041184640. Its totient is φ = 7366256640.

The previous prime is 29349965471. The next prime is 29349965521. The reversal of 29349965520 is 2556994392.

It is a happy number.

29349965520 is a `hidden beast` number, since 2 + 93 + 499 + 65 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×293499655202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29349965521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362926 + ... + 436365.

It is an arithmetic number, because the mean of its divisors is an integer number (669007404).

Almost surely, 229349965520 is an apocalyptic number.

29349965520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29349965520 is an abundant number, since it is smaller than the sum of its proper divisors (77691219120).

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

29349965520 is a wasteful number, since it uses less digits than its factorization.

29349965520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799330 (or 799318 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 29349965520 in words is "twenty-nine billion, three hundred forty-nine million, nine hundred sixty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3672 4080 4590 6120 7344 9180 12240 18360 36720 799291 1598582 2397873 3197164 3996455 4795746 6394328 7193619 7992910 9591492 11989365 12788656 13587947 14387238 15985820 19182984 21580857 23978730 27175894 28774476 31971640 35968095 38365968 40763841 43161714 47957460 54351788 57548952 63943280 67939735 71936190 81527682 86323428 95914920 107904285 108703576 115097904 122291523 135879470 143872380 163055364 172646856 191829840 203819205 215808570 217407152 244583046 271758940 287744760 326110728 345293712 366874569 407638410 431617140 489166092 543517880 575489520 611457615 652221456 733749138 815276820 863234280 978332184 1087035760 1222915230 1467498276 1630553640 1726468560 1834372845 1956664368 2445830460 2934996552 3261107280 3668745690 4891660920 5869993104 7337491380 9783321840 14674982760 29349965520