Search a number
-
+
29819676705 = 35713314091723
BaseRepresentation
bin11011110001011001…
…000010100000100001
32211222011222112022120
4123301121002200201
5442032314123310
621410551054453
72103650032650
oct336131024041
984864875276
1029819676705
1111712480515
125942671429
132a72c0a020
14162c509197
15b97da9b70
hex6f1642821

29819676705 has 128 divisors (see below), whose sum is σ = 60799549440. Its totient is φ = 12140513280.

The previous prime is 29819676701. The next prime is 29819676713. The reversal of 29819676705 is 50767691892.

It is not a de Polignac number, because 29819676705 - 22 = 29819676701 is a prime.

It is not an unprimeable number, because it can be changed into a prime (29819676701) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17305974 + ... + 17307696.

It is an arithmetic number, because the mean of its divisors is an integer number (474996480).

Almost surely, 229819676705 is an apocalyptic number.

It is an amenable number.

29819676705 is an abundant number, since it is smaller than the sum of its proper divisors (30979872735).

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

29819676705 is a wasteful number, since it uses less digits than its factorization.

29819676705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191.

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 29819676705 in words is "twenty-nine billion, eight hundred nineteen million, six hundred seventy-six thousand, seven hundred five".

Divisors: 1 3 5 7 13 15 21 31 35 39 65 91 93 105 155 195 217 273 403 409 455 465 651 1085 1209 1227 1365 1723 2015 2045 2821 2863 3255 5169 5317 6045 6135 8463 8589 8615 12061 12679 14105 14315 15951 22399 25845 26585 36183 37219 38037 42315 42945 53413 60305 63395 67197 79755 88753 111657 111995 156793 160239 164827 180915 186095 190185 266259 267065 335985 373891 443765 470379 494481 558285 694369 704707 783965 801195 824135 1121673 1153789 1331295 1869455 2083107 2114121 2351895 2472405 3461367 3471845 3523535 4860583 4932949 5608365 5768945 9161191 10415535 10570605 14581749 14798847 17306835 21845917 24302915 24664745 27483573 45805955 64128337 65537751 72908745 73994235 109229585 137417865 152921419 192385011 283996921 320641685 327688755 458764257 764607095 851990763 961925055 1419984605 1987978447 2293821285 4259953815 5963935341 9939892235 29819676705