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29158148313 = 33710712711353
BaseRepresentation
bin11011001001111101…
…100000100011011001
32210021002012101222000
4123021331200203121
5434203441221223
621221200151213
72051365112520
oct331175404331
983232171860
1029158148313
1111403018438
125799008509
132998b4a8c8
1415a87074b7
15b59c86543
hex6c9f608d9

29158148313 has 64 divisors (see below), whose sum is σ = 50226462720. Its totient is φ = 16374669696.

The previous prime is 29158148303. The next prime is 29158148323. The reversal of 29158148313 is 31384185192.

29158148313 is a `hidden beast` number, since 2 + 9 + 158 + 1 + 483 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (29158148303) and next prime (29158148323).

It is not a de Polignac number, because 29158148313 - 26 = 29158148249 is a prime.

It is a super-2 number, since 2×291581483132 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29158148303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2562645 + ... + 2573997.

It is an arithmetic number, because the mean of its divisors is an integer number (784788480).

Almost surely, 229158148313 is an apocalyptic number.

It is an amenable number.

29158148313 is a deficient number, since it is larger than the sum of its proper divisors (21068314407).

29158148313 is a wasteful number, since it uses less digits than its factorization.

29158148313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11603 (or 11597 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 29158148313 in words is "twenty-nine billion, one hundred fifty-eight million, one hundred forty-eight thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 63 107 127 189 321 381 749 889 963 1143 2247 2667 2889 3429 6741 8001 11353 13589 20223 24003 34059 40767 79471 95123 102177 122301 238413 285369 306531 366903 715239 856107 1214771 1441831 2145717 2568321 3644313 4325493 8503397 10092817 10932939 12976479 25510191 30278451 32798817 38929437 76530573 90835353 154275917 229591719 272506059 462827751 1079931419 1388483253 3239794257 4165449759 9719382771 29158148313