Search a number
-
+
120456457264 = 241113462111393
BaseRepresentation
bin111000000101111000…
…0111010110000110000
3102111220211002001011001
41300023300322300300
53433143323113024
6131200435531344
711463010664413
oct1601360726060
9374824061131
10120456457264
11470a3591230
121b418759b54
13b488935220
145b89c05b7a
1532000bc244
hex1c0bc3ac30

120456457264 has 80 divisors (see below), whose sum is σ = 274269258144. Its totient is φ = 50525798400.

The previous prime is 120456457229. The next prime is 120456457313. The reversal of 120456457264 is 462754654021.

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, 10567152 + ... + 10578544.

Almost surely, 2120456457264 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 120456457264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137134629072).

120456457264 is an abundant number, since it is smaller than the sum of its proper divisors (153812800880).

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

120456457264 is a wasteful number, since it uses less digits than its factorization.

120456457264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16046 (or 16040 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 120456457264 in words is "one hundred twenty billion, four hundred fifty-six million, four hundred fifty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 4621 9242 11393 18484 22786 36968 45572 50831 60073 73936 91144 101662 120146 125323 148109 182288 203324 240292 250646 296218 406648 480584 501292 592436 660803 813296 961168 1002584 1184872 1321606 1629199 2005168 2369744 2643212 3258398 5286424 6516796 10572848 13033592 26067184 52647053 105294106 210588212 421176424 579117583 684411689 842352848 1158235166 1368823378 2316470332 2737646756 4632940664 5475293512 7528528579 9265881328 10950587024 15057057158 30114114316 60228228632 120456457264