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29231779864 = 2373591031753
BaseRepresentation
bin11011001110010110…
…011001000000011000
32210110012202021110111
4123032112121000120
5434331313423424
621232350254104
72053251013000
oct331626310030
983405667414
1029231779864
1111440639961
1257b97b7334
1329ab18b381
1415b43d3000
15b6147d194
hex6ce599018

29231779864 has 128 divisors (see below), whose sum is σ = 65669760000. Its totient is φ = 12189042432.

The previous prime is 29231779853. The next prime is 29231779867. The reversal of 29231779864 is 46897713292.

It is a junction number, because it is equal to n+sod(n) for n = 29231779799 and 29231779808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29231779867) 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, 16674412 + ... + 16676164.

It is an arithmetic number, because the mean of its divisors is an integer number (513045000).

Almost surely, 229231779864 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 29231779864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32834880000).

29231779864 is an abundant number, since it is smaller than the sum of its proper divisors (36437980136).

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

29231779864 is a wasteful number, since it uses less digits than its factorization.

29231779864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1924 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 58.

The spelling of 29231779864 in words is "twenty-nine billion, two hundred thirty-one million, seven hundred seventy-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 103 118 196 206 236 343 392 412 413 472 686 721 824 826 1372 1442 1652 1753 2744 2884 2891 3304 3506 5047 5768 5782 6077 7012 10094 11564 12154 12271 14024 20188 20237 23128 24308 24542 35329 40376 40474 42539 48616 49084 70658 80948 85078 85897 98168 103427 141316 161896 170156 171794 180559 206854 282632 297773 340312 343588 361118 413708 595546 601279 687176 722236 723989 827416 1191092 1202558 1263913 1444472 1447978 2084411 2382184 2405116 2527826 2895956 4168822 4810232 5055652 5067923 5791912 8337644 8847391 10111304 10135846 10652981 16675288 17694782 20271692 21305962 35389564 35475461 40543384 42611924 61931737 70779128 70950922 74570867 85223848 123863474 141901844 149141734 247726948 283803688 298283468 495453896 521996069 596566936 1043992138 2087984276 3653972483 4175968552 7307944966 14615889932 29231779864