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256252662141 = 3713327915623
BaseRepresentation
bin1110111010100111011…
…0010101000101111101
3220111102200121000002120
43232221312111011331
513144301140142031
6313415411513153
724341115455310
oct3565166250575
9814380530076
10256252662141
1199748a46923
12417b65b87b9
131b21a5bcc88
14c58cdd0977
1569ebc0ea96
hex3ba9d9517d

256252662141 has 16 divisors (see below), whose sum is σ = 390509973504. Its totient is φ = 146418945264.

The previous prime is 256252662121. The next prime is 256252662181. The reversal of 256252662141 is 141266252652.

It is a happy number.

It is not a de Polignac number, because 256252662141 - 213 = 256252653949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 256252662093 and 256252662102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256252662101) by changing a digit.

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, 177945 + ... + 737678.

It is an arithmetic number, because the mean of its divisors is an integer number (24406873344).

Almost surely, 2256252662141 is an apocalyptic number.

256252662141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

256252662141 is a deficient number, since it is larger than the sum of its proper divisors (134257311363).

256252662141 is a wasteful number, since it uses less digits than its factorization.

256252662141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928960.

The product of its digits is 345600, while the sum is 42.

The spelling of 256252662141 in words is "two hundred fifty-six billion, two hundred fifty-two million, six hundred sixty-two thousand, one hundred forty-one".

Divisors: 1 3 7 21 13327 39981 93289 279867 915623 2746869 6409361 19228083 12202507721 36607523163 85417554047 256252662141