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256198982221 = 71321927741149
BaseRepresentation
bin1110111010011010100…
…1100011101001001101
3220111021221120210002101
43232212221203221031
513144143414412341
6313410213155101
724336564263140
oct3564651435115
9814257523071
10256198982221
1199720712356
12417a062ba91
131b20c446900
14c585c1a057
1569e7159831
hex3ba6a63a4d

256198982221 has 48 divisors (see below), whose sum is σ = 334954416000. Its totient is φ = 191340175104.

The previous prime is 256198982219. The next prime is 256198982251. The reversal of 256198982221 is 122289891652.

It is not a de Polignac number, because 256198982221 - 21 = 256198982219 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256198982201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6205555 + ... + 6246703.

It is an arithmetic number, because the mean of its divisors is an integer number (6978217000).

Almost surely, 2256198982221 is an apocalyptic number.

It is an amenable number.

256198982221 is a deficient number, since it is larger than the sum of its proper divisors (78755433779).

256198982221 is a wasteful number, since it uses less digits than its factorization.

256198982221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41478 (or 41465 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 55.

The spelling of 256198982221 in words is "two hundred fifty-six billion, one hundred ninety-eight million, nine hundred eighty-two thousand, two hundred twenty-one".

Divisors: 1 7 13 19 91 133 169 247 277 1183 1729 1939 3211 3601 5263 22477 25207 36841 41149 46813 68419 288043 327691 478933 534937 781831 889447 3744559 5472817 6226129 6954181 10163803 11398273 48679267 71146621 79787911 132129439 148177549 216567187 924906073 1037242843 1515970309 1926308137 2815373431 13484156959 19707614017 36599854603 256198982221