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256774218746172 = 223192417465950647
BaseRepresentation
bin111010011000100011101000…
…000110001000100100111100
31020200011101010210111020000020
4322120203220012020210330
5232123442044444334142
62310040240404332140
7105041216340231621
oct7230435006104474
91220141123436006
10256774218746172
11748a8375434a36
12249706923a4050
13b03792196671a
144759d1d350348
151ea44478d3cec
hexe988e818893c

256774218746172 has 48 divisors (see below), whose sum is σ = 630934453443840. Its totient is φ = 81053046772992.

The previous prime is 256774218746167. The next prime is 256774218746203. The reversal of 256774218746172 is 271647812477652.

It is a junction number, because it is equal to n+sod(n) for n = 256774218746097 and 256774218746106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232424248 + ... + 233526399.

It is an arithmetic number, because the mean of its divisors is an integer number (13144467780080).

Almost surely, 2256774218746172 is an apocalyptic number.

It is an amenable number.

256774218746172 is an abundant number, since it is smaller than the sum of its proper divisors (374160234697668).

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

256774218746172 is a wasteful number, since it uses less digits than its factorization.

256774218746172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465953090 (or 465953088 counting only the distinct ones).

The product of its digits is 442552320, while the sum is 69.

The spelling of 256774218746172 in words is "two hundred fifty-six trillion, seven hundred seventy-four billion, two hundred eighteen million, seven hundred forty-six thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 2417 4834 7251 9668 14502 29004 45923 91846 137769 183692 275538 551076 465950647 931901294 1397851941 1863802588 2795703882 5591407764 8853062293 17706124586 26559186879 35412249172 53118373758 106236747516 1126202713799 2252405427598 3378608141397 4504810855196 6757216282794 13514432565588 21397851562181 42795703124362 64193554686543 85591406248724 128387109373086 256774218746172