Search a number
-
+
29602696325856 = 253431821987049
BaseRepresentation
bin1101011101100011010100…
…01100101110101011100000
310212210222201210201221012220
412232301222030232223200
512340002310224411411
6142543142502351040
76143503261026423
oct656615214565340
9125728653657186
1029602696325856
119483484376235
1233a124b12b480
1313696a35cc1c4
14744ac73419ba
15365079e8bb06
hex1aec6a32eae0

29602696325856 has 96 divisors (see below), whose sum is σ = 77897744064000. Its totient is φ = 9843359984640.

The previous prime is 29602696325843. The next prime is 29602696325929. The reversal of 29602696325856 is 65852369620692.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340025820 + ... + 340112868.

It is an arithmetic number, because the mean of its divisors is an integer number (811434834000).

Almost surely, 229602696325856 is an apocalyptic number.

It is an amenable number.

29602696325856 is an abundant number, since it is smaller than the sum of its proper divisors (48295047738144).

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

29602696325856 is a wasteful number, since it uses less digits than its factorization.

29602696325856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95712 (or 95704 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 69.

The spelling of 29602696325856 in words is "twenty-nine trillion, six hundred two billion, six hundred ninety-six million, three hundred twenty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 431 862 1293 1724 2586 3448 5172 6896 8219 10344 13792 16438 20688 24657 32876 41376 49314 65752 87049 98628 131504 174098 197256 261147 263008 348196 394512 522294 696392 789024 1044588 1392784 2089176 2785568 3542389 4178352 7084778 8356704 10627167 14169556 21254334 28339112 37518119 42508668 56678224 75036238 85017336 112554357 113356448 150072476 170034672 225108714 300144952 340069344 450217428 600289904 715455731 900434856 1200579808 1430911462 1800869712 2146367193 2861822924 3601739424 4292734386 5723645848 8585468772 11447291696 17170937544 22894583392 34341875088 68683750176 308361420061 616722840122 925084260183 1233445680244 1850168520366 2466891360488 3700337040732 4933782720976 7400674081464 9867565441952 14801348162928 29602696325856