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256469377024 = 213713134141
BaseRepresentation
bin1110111011011011000…
…1000010000000000000
3220111222210101021000201
43232312301002000000
513200222130031044
6313453112454544
724346356510160
oct3566661020000
9814883337021
10256469377024
119984a305a33
12418570aa454
131b25347a333
14c5adac45a0
156a10c6b7d4
hex3bb6c42000

256469377024 has 112 divisors (see below), whose sum is σ = 590671895616. Its totient is φ = 109073203200.

The previous prime is 256469376967. The next prime is 256469377033. The reversal of 256469377024 is 420773964652.

256469377024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7494994 + ... + 7529134.

Almost surely, 2256469377024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256469377024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295335947808).

256469377024 is an abundant number, since it is smaller than the sum of its proper divisors (334202518592).

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

256469377024 is an equidigital number, since it uses as much as digits as its factorization.

256469377024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34305 (or 34281 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 256469377024 in words is "two hundred fifty-six billion, four hundred sixty-nine million, three hundred seventy-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 256 262 448 512 524 896 917 1024 1048 1792 1834 2048 2096 3584 3668 4096 4192 7168 7336 8192 8384 14336 14672 16768 28672 29344 33536 34141 57344 58688 67072 68282 117376 134144 136564 234752 238987 268288 273128 469504 477974 536576 546256 939008 955948 1073152 1092512 1878016 1911896 2185024 3756032 3823792 4370048 4472471 7512064 7647584 8740096 8944942 15295168 17480192 17889884 30590336 31307297 34960384 35779768 61180672 62614594 69920768 71559536 122361344 125229188 139841536 143119072 244722688 250458376 279683072 286238144 489445376 500916752 572476288 978890752 1001833504 1144952576 1957781504 2003667008 2289905152 4007334016 4579810304 8014668032 9159620608 16029336064 18319241216 32058672128 36638482432 64117344256 128234688512 256469377024