Search a number
-
+
256054706370 = 232522777124909
BaseRepresentation
bin1110111001111000001…
…1001100000011000010
3220110220220002210211100
43232132003030003002
513143400001100440
6313344020555230
724333163043631
oct3563603140302
9813826083740
10256054706370
119965722a811
1241760252b16
131b1b85a0298
14c5709c1518
1569d965b230
hex3b9e0cc0c2

256054706370 has 48 divisors (see below), whose sum is σ = 665776795320. Its totient is φ = 68277710592.

The previous prime is 256054706363. The next prime is 256054706371. The reversal of 256054706370 is 73607450652.

256054706370 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 5 + 4 + 7 + 0 + 637 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 193474180449 + 62580525921 = 439857^2 + 250161^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256054706371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1987476 + ... + 2112384.

Almost surely, 2256054706370 is an apocalyptic number.

256054706370 is an abundant number, since it is smaller than the sum of its proper divisors (409722088950).

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

256054706370 is a wasteful number, since it uses less digits than its factorization.

256054706370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147699 (or 147696 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 256054706370 in words is "two hundred fifty-six billion, fifty-four million, seven hundred six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 22777 45554 68331 113885 124909 136662 204993 227770 249818 341655 374727 409986 624545 683310 749454 1024965 1124181 1249090 1873635 2049930 2248362 3747270 5620905 11241810 2845052293 5690104586 8535156879 14225261465 17070313758 25605470637 28450522930 42675784395 51210941274 85351568790 128027353185 256054706370