Search a number
-
+
256753793790 = 23351373149229
BaseRepresentation
bin1110111100011110110…
…1111111101011111110
3220112201121120010111000
43233013231333223332
513201312432400130
6313541232511130
724356412144444
oct3570755775376
9815647503430
10256753793790
119998590650a
12419163ab4a6
131b29a380190
14c5d979cb94
156a2abed260
hex3bc7b7fafe

256753793790 has 64 divisors (see below), whose sum is σ = 737344238400. Its totient is φ = 63200932992.

The previous prime is 256753793767. The next prime is 256753793801. The reversal of 256753793790 is 97397357652.

256753793790 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 537 + 9 + 3 + 7 + 90 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36571105 + ... + 36578124.

It is an arithmetic number, because the mean of its divisors is an integer number (11521003725).

Almost surely, 2256753793790 is an apocalyptic number.

256753793790 is an abundant number, since it is smaller than the sum of its proper divisors (480590444610).

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

256753793790 is a wasteful number, since it uses less digits than its factorization.

256753793790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73149258 (or 73149252 counting only the distinct ones).

The product of its (nonzero) digits is 75014100, while the sum is 63.

The spelling of 256753793790 in words is "two hundred fifty-six billion, seven hundred fifty-three million, seven hundred ninety-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 73149229 146298458 219447687 365746145 438895374 658343061 731492290 950939977 1097238435 1316686122 1901879954 1975029183 2194476870 2852819931 3291715305 3950058366 4754699885 5705639862 6583430610 8558459793 9509399770 9875145915 14264099655 17116919586 19750291830 25675379379 28528199310 42792298965 51350758758 85584597930 128376896895 256753793790