Search a number
-
+
99149240256 = 2631146945663
BaseRepresentation
bin101110001010111000…
…0010101011111000000
3100110220212210021021120
41130111300111133000
53111024201142011
6113314252152240
710110003431253
oct1342560253700
9313825707246
1099149240256
113905a185780
1217270a68680
139471496701
144b2808109a
1528a46d7a06
hex1715c157c0

99149240256 has 56 divisors (see below), whose sum is σ = 286180767744. Its totient is φ = 30045223680.

The previous prime is 99149240237. The next prime is 99149240257. The reversal of 99149240256 is 65204294199.

99149240256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 99149240199 and 99149240208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99149240257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23470720 + ... + 23474943.

Almost surely, 299149240256 is an apocalyptic number.

99149240256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

99149240256 is an abundant number, since it is smaller than the sum of its proper divisors (187031527488).

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

99149240256 is a wasteful number, since it uses less digits than its factorization.

99149240256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46945689 (or 46945679 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 99149240256 in words is "ninety-nine billion, one hundred forty-nine million, two hundred forty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 46945663 93891326 140836989 187782652 281673978 375565304 516402293 563347956 751130608 1032804586 1126695912 1502261216 1549206879 2065609172 2253391824 3004522432 3098413758 4131218344 4506783648 6196827516 8262436688 9013567296 12393655032 16524873376 24787310064 33049746752 49574620128 99149240256