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255279260656 = 2474359389387
BaseRepresentation
bin1110110110111111010…
…1000110001111110000
3220101220211222002021201
43231233311012033300
513140302442320111
6313135040300544
724305025625150
oct3555765061760
9811824862251
10255279260656
119929953a992
1241584611754
131b0c3a36774
14c4d9a08760
1569915346c1
hex3b6fd463f0

255279260656 has 80 divisors (see below), whose sum is σ = 579388702464. Its totient is φ = 106679688192.

The previous prime is 255279260641. The next prime is 255279260737. The reversal of 255279260656 is 656062972552.

It is a junction number, because it is equal to n+sod(n) for n = 255279260597 and 255279260606.

It is a congruent number.

It is an unprimeable number.

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, 2811195 + ... + 2900581.

Almost surely, 2255279260656 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 255279260656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289694351232).

255279260656 is an abundant number, since it is smaller than the sum of its proper divisors (324109441808).

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

255279260656 is a wasteful number, since it uses less digits than its factorization.

255279260656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90038 (or 90032 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 55.

The spelling of 255279260656 in words is "two hundred fifty-five billion, two hundred seventy-nine million, two hundred sixty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 593 602 688 1186 1204 2372 2408 4151 4744 4816 8302 9488 16604 25499 33208 50998 66416 89387 101996 178493 178774 203992 356986 357548 407984 625709 713972 715096 1251418 1427944 1430192 2502836 2855888 3843641 5005672 7687282 10011344 15374564 26905487 30749128 53006491 53810974 61498256 106012982 107621948 212025964 215243896 371045437 424051928 430487792 742090874 848103856 1484181748 2279279113 2968363496 4558558226 5936726992 9117116452 15954953791 18234232904 31909907582 36468465808 63819815164 127639630328 255279260656