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256631105045755 = 511127290271265729
BaseRepresentation
bin111010010110011110010101…
…110110101100010011111011
31020122122200201221210222021101
4322112132111312230103323
5232114121000342431010
62305450411353152231
7105024662006653546
oct7226362566542373
91218580657728241
10256631105045755
1174852705491670
12249489b19bb677
13b027294c9075b
14475302439d85d
151ea086d65e73a
hexe96795dac4fb

256631105045755 has 32 divisors (see below), whose sum is σ = 338610681815040. Its totient is φ = 185164665477120.

The previous prime is 256631105045723. The next prime is 256631105045827. The reversal of 256631105045755 is 557540501136652.

It is not a de Polignac number, because 256631105045755 - 25 = 256631105045723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a junction number, because it is equal to n+sod(n) for n = 256631105045696 and 256631105045705.

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 31 ways as a sum of consecutive naturals, for example, 202120731 + ... + 203386459.

It is an arithmetic number, because the mean of its divisors is an integer number (10581583806720).

Almost surely, 2256631105045755 is an apocalyptic number.

256631105045755 is a deficient number, since it is larger than the sum of its proper divisors (81979576769285).

256631105045755 is a wasteful number, since it uses less digits than its factorization.

256631105045755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294899.

The product of its (nonzero) digits is 18900000, while the sum is 55.

The spelling of 256631105045755 in words is "two hundred fifty-six trillion, six hundred thirty-one billion, one hundred five million, forty-five thousand, seven hundred fifty-five".

Divisors: 1 5 11 55 127 635 1397 6985 29027 145135 319297 1265729 1596485 3686429 6328645 13923019 18432145 40550719 69615095 160747583 202753595 803737915 1768223413 8841117065 36740315683 183701578415 404143472513 2020717362565 4666020091741 23330100458705 51326221009151 256631105045755