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255704407552 = 291145402061
BaseRepresentation
bin1110111000100100101…
…0111001111000000000
3220110000110221210012001
43232021022321320000
513142140312020202
6313245144513344
724321410413366
oct3561112717000
9813013853161
10255704407552
1199497521060
1241682a7b854
131b160b41089
14c53a277636
1569b8a13d87
hex3b892b9e00

255704407552 has 40 divisors (see below), whose sum is σ = 557355713112. Its totient is φ = 116229273600.

The previous prime is 255704407537. The next prime is 255704407577.

255704407552 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22695399 + ... + 22706662.

Almost surely, 2255704407552 is an apocalyptic number.

255704407552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

255704407552 is an abundant number, since it is smaller than the sum of its proper divisors (301651305560).

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

255704407552 is an equidigital number, since it uses as much as digits as its factorization.

255704407552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45402090 (or 45402074 counting only the distinct ones).

The product of its (nonzero) digits is 1960000, while the sum is 46.

The spelling of 255704407552 in words is "two hundred fifty-five billion, seven hundred four million, four hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 45402061 90804122 181608244 363216488 499422671 726432976 998845342 1452865952 1997690684 2905731904 3995381368 5811463808 7990762736 11622927616 15981525472 23245855232 31963050944 63926101888 127852203776 255704407552