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264432322146156 = 223125921118291237
BaseRepresentation
bin111100000111111111110010…
…101000001110111101101100
31021200021111001012002210111220
4330013333302220032331230
5234124424343432134111
62334222310505543340
7106461414311135553
oct7407776250167554
91250244035083456
10264432322146156
117729013312a1aa
12257a89097a4b50
13b471b267665a8
14494284245cd9a
152088758e17e06
hexf07ff2a0ef6c

264432322146156 has 48 divisors (see below), whose sum is σ = 617791419463680. Its totient is φ = 88032364054720.

The previous prime is 264432322146121. The next prime is 264432322146163. The reversal of 264432322146156 is 651641223234462.

It is a junction number, because it is equal to n+sod(n) for n = 264432322146099 and 264432322146108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27747370 + ... + 36038606.

It is an arithmetic number, because the mean of its divisors is an integer number (12870654572160).

Almost surely, 2264432322146156 is an apocalyptic number.

It is an amenable number.

264432322146156 is an abundant number, since it is smaller than the sum of its proper divisors (353359097317524).

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

264432322146156 is a wasteful number, since it uses less digits than its factorization.

264432322146156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294614 (or 8294612 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 51.

The spelling of 264432322146156 in words is "two hundred sixty-four trillion, four hundred thirty-two billion, three hundred twenty-two million, one hundred forty-six thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 1259 2111 2518 3777 4222 5036 6333 7554 8444 12666 15108 25332 2657749 5315498 7973247 8291237 10630996 15946494 16582474 24873711 31892988 33164948 49747422 99494844 10438667383 17502801307 20877334766 31316002149 35005602614 41754669532 52508403921 62632004298 70011205228 105016807842 125264008596 210033615684 22036026845513 44072053691026 66108080536539 88144107382052 132216161073078 264432322146156