Search a number
-
+
256074579948 = 223115633445753
BaseRepresentation
bin1110111001111100111…
…0111111111111101100
3220110222021111111020210
43232133032333333230
513143420043024243
6313350010542420
724333524005245
oct3563716777754
9813867444223
10256074579948
1199667474060
1241766a37a10
131b1bc73acb5
14c5734b5ccc
1569db284933
hex3b9f3bffec

256074579948 has 48 divisors (see below), whose sum is σ = 652984166016. Its totient is φ = 77460504960.

The previous prime is 256074579907. The next prime is 256074579967. The reversal of 256074579948 is 849975470652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 15 ways as a sum of consecutive naturals, for example, 1648561 + ... + 1797192.

It is an arithmetic number, because the mean of its divisors is an integer number (13603836792).

Almost surely, 2256074579948 is an apocalyptic number.

It is an amenable number.

256074579948 is an abundant number, since it is smaller than the sum of its proper divisors (396909586068).

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

256074579948 is a wasteful number, since it uses less digits than its factorization.

256074579948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446334 (or 3446332 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 66.

The spelling of 256074579948 in words is "two hundred fifty-six billion, seventy-four million, five hundred seventy-nine thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 563 1126 1689 2252 3378 6193 6756 12386 18579 24772 37158 74316 3445753 6891506 10337259 13783012 20674518 37903283 41349036 75806566 113709849 151613132 227419698 454839396 1939958939 3879917878 5819876817 7759835756 11639753634 21339548329 23279507268 42679096658 64018644987 85358193316 128037289974 256074579948