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264664400138760 = 23352395892898601
BaseRepresentation
bin111100001011010111111011…
…100011100001001000001000
31021201002200002002210100100110
4330023113323203201020020
5234142230142413420020
62334521051422434320
7106514241363416106
oct7413277343411010
91251080062710313
10264664400138760
117736a5a6100a96
12258258981329a0
13b48a99080167b
14494db7a946c76
15208e7dd6328e0
hexf0b5fb8e1208

264664400138760 has 64 divisors (see below), whose sum is σ = 828514643921280. Its totient is φ = 67508600614400.

The previous prime is 264664400138729. The next prime is 264664400138813. The reversal of 264664400138760 is 67831004466462.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 264664400138760.

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, 47946446541 + ... + 47946452060.

It is an arithmetic number, because the mean of its divisors is an integer number (12945541311270).

Almost surely, 2264664400138760 is an apocalyptic number.

264664400138760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264664400138760 is an abundant number, since it is smaller than the sum of its proper divisors (563850243782520).

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

264664400138760 is a wasteful number, since it uses less digits than its factorization.

264664400138760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95892898638 (or 95892898634 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 264664400138760 in words is "two hundred sixty-four trillion, six hundred sixty-four billion, four hundred million, one hundred thirty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 95892898601 191785797202 287678695803 383571594404 479464493005 575357391606 767143188808 958928986010 1150714783212 1438393479015 1917857972020 2205536667823 2301429566424 2876786958030 3835715944040 4411073335646 5753573916060 6616610003469 8822146671292 11027683339115 11507147832120 13233220006938 17644293342584 22055366678230 26466440013876 33083050017345 44110733356460 52932880027752 66166100034690 88221466712920 132332200069380 264664400138760