Search a number
-
+
11274562991232 = 2732989292
BaseRepresentation
bin1010010000010001000001…
…0100100111010010000000
31110220211121200100202220200
42210010100110213102000
52434210301111204412
635551243541205200
72242363116123402
oct244042024472200
943824550322820
1011274562991232
113657573977012
121321104400800
1363a25731a988
142ad998294b72
15148425b219dc
hexa4110527480

11274562991232 has 72 divisors (see below), whose sum is σ = 32444057393865. Its totient is φ = 3758149675008.

The previous prime is 11274562991227. The next prime is 11274562991239. The reversal of 11274562991232 is 23219926547211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11274562991232 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 4 + 5 + 629 + 9 + 1 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9483098527296 + 1791464463936 = 3079464^2 + 1338456^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2374296.

It is not an unprimeable number, because it can be changed into a prime (11274562991239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113916744 + ... + 114015672.

Almost surely, 211274562991232 is an apocalyptic number.

11274562991232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11274562991232 is an abundant number, since it is smaller than the sum of its proper divisors (21169494402633).

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

11274562991232 is an frugal number, since it uses more digits than its factorization.

11274562991232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197878 (or 98934 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 11274562991232 in words is "eleven trillion, two hundred seventy-four billion, five hundred sixty-two million, nine hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 98929 197858 296787 395716 593574 791432 890361 1187148 1582864 1780722 2374296 3165728 3561444 4748592 6331456 7122888 9497184 12662912 14245776 18994368 28491552 37988736 56983104 113966208 9786947041 19573894082 29360841123 39147788164 58721682246 78295576328 88082523369 117443364492 156591152656 176165046738 234886728984 313182305312 352330093476 469773457968 626364610624 704660186952 939546915936 1252729221248 1409320373904 1879093831872 2818640747808 3758187663744 5637281495616 11274562991232