Search a number
-
+
256082747008 = 2711298217639
BaseRepresentation
bin1110111001111110111…
…0001001111010000000
3220110222211212102100111
43232133232021322000
513143424140401013
6313350502001104
724333653302024
oct3563756117200
9813884772314
10256082747008
11996710420a0
1241769716194
131b1c133a48a
14c574600384
1569dbd4973d
hex3b9fb89e80

256082747008 has 128 divisors (see below), whose sum is σ = 576511344000. Its totient is φ = 112235827200.

The previous prime is 256082746993. The next prime is 256082747029. The reversal of 256082747008 is 800747280652.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33519253 + ... + 33526891.

It is an arithmetic number, because the mean of its divisors is an integer number (4503994875).

Almost surely, 2256082747008 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 256082747008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288255672000).

256082747008 is an abundant number, since it is smaller than the sum of its proper divisors (320428596992).

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

256082747008 is a wasteful number, since it uses less digits than its factorization.

256082747008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 49.

The spelling of 256082747008 in words is "two hundred fifty-six billion, eighty-two million, seven hundred forty-seven thousand, eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 821 928 1276 1408 1642 1856 2552 3284 3712 5104 6568 7639 9031 10208 13136 15278 18062 20416 23809 26272 30556 36124 40832 47618 52544 61112 72248 84029 95236 105088 122224 144496 168058 190472 221531 244448 261899 288992 336116 380944 443062 488896 523798 577984 672232 761888 886124 977792 1047596 1155968 1344464 1523776 1772248 2095192 2436841 2688928 3047552 3544496 4190384 4873682 5377856 6271619 7088992 8380768 9747364 10755712 12543238 14177984 16761536 19494728 25086476 28355968 33523072 38989456 50172952 68987809 77978912 100345904 137975618 155957824 181876951 200691808 275951236 311915648 363753902 401383616 551902472 727507804 802767232 1103804944 1455015608 2000646461 2207609888 2910031216 4001292922 4415219776 5820062432 8002585844 8830439552 11640124864 16005171688 23280249728 32010343376 64020686752 128041373504 256082747008