Search a number
-
+
979257893068 = 2271330720814211
BaseRepresentation
bin11100100000000000101…
…00011010000011001100
310110121122011111012220101
432100000110122003030
5112021010010034233
62025510451100444
7130514631516040
oct16200024320314
93417564435811
10979257893068
11348334607a64
121399535a1724
1371460c2aca0
1435579786020
151a7157abc7d
hexe40051a0cc

979257893068 has 96 divisors (see below), whose sum is σ = 2117560693248. Its totient is φ = 385859635200.

The previous prime is 979257893023. The next prime is 979257893209. The reversal of 979257893068 is 860398752979.

It is a super-2 number, since 2×9792578930682 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232545483 + ... + 232549693.

It is an arithmetic number, because the mean of its divisors is an integer number (22057923888).

Almost surely, 2979257893068 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 979257893068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058780346624).

979257893068 is an abundant number, since it is smaller than the sum of its proper divisors (1138302800180).

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

979257893068 is a wasteful number, since it uses less digits than its factorization.

979257893068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 73.

The spelling of 979257893068 in words is "nine hundred seventy-nine billion, two hundred fifty-seven million, eight hundred ninety-three thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 307 364 614 1228 2081 2149 3991 4162 4211 4298 7982 8324 8422 8596 14567 15964 16844 27053 27937 29134 29477 54106 54743 55874 58268 58954 108212 109486 111748 117908 189371 218972 378742 383201 638867 757484 766402 1277734 1292777 1532804 2555468 2585554 4472069 5171108 8305271 8763091 8944138 9049439 16610542 16806101 17526182 17888276 18098878 33221084 33612202 35052364 36197756 58136897 61341637 67224404 113920183 116273794 117642707 122683274 227840366 232547588 235285414 245366548 455680732 470570828 797441281 1594882562 2690268937 3189765124 5380537874 10761075748 18831882559 34973496181 37663765118 69946992362 75327530236 139893984724 244814473267 489628946534 979257893068