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29153133464 = 23713431277333
BaseRepresentation
bin11011001001101010…
…011000001110011000
32210020201202121212212
4123021222120032120
5434201200232324
621220500454252
72051304355130
oct331152301630
983221677785
1029153133464
1111400202734
1257973aa388
132997ab3140
1415a7b9dac0
15b595e570e
hex6c9a98398

29153133464 has 128 divisors (see below), whose sum is σ = 69392547840. Its totient is φ = 11174671872.

The previous prime is 29153133461. The next prime is 29153133479. The reversal of 29153133464 is 46433135192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29153133461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3971942 + ... + 3979274.

It is an arithmetic number, because the mean of its divisors is an integer number (542129280).

Almost surely, 229153133464 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 29153133464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34696273920).

29153133464 is an abundant number, since it is smaller than the sum of its proper divisors (40239414376).

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

29153133464 is a wasteful number, since it uses less digits than its factorization.

29153133464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7529 (or 7525 counting only the distinct ones).

The product of its digits is 233280, while the sum is 41.

The spelling of 29153133464 in words is "twenty-nine billion, one hundred fifty-three million, one hundred thirty-three thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 127 172 182 254 301 344 364 508 559 602 728 889 1016 1118 1204 1651 1778 2236 2408 3302 3556 3913 4472 5461 6604 7112 7333 7826 10922 11557 13208 14666 15652 21844 23114 29332 31304 38227 43688 46228 51331 58664 70993 76454 92456 95329 102662 141986 152908 190658 205324 283972 305816 315319 381316 410648 496951 567944 630638 667303 762632 931291 993902 1261276 1334606 1862582 1987804 2207233 2522552 2669212 3725164 3975608 4099147 4414466 5338424 6519037 7450328 8198294 8828932 12106783 13038074 16396588 17657864 24213566 26076148 28694029 32793176 40045513 48427132 52152296 57388058 80091026 84747481 96854264 114776116 160182052 169494962 229552232 280318591 320364104 338989924 520591669 560637182 677979848 1041183338 1121274364 2082366676 2242548728 3644141683 4164733352 7288283366 14576566732 29153133464