Search a number
-
+
120574917264 = 24317337438467
BaseRepresentation
bin111000001001011010…
…0110011101010010000
3102112020001222102201110
41300102310303222100
53433414134323024
6131220310533320
711465646613014
oct1602264635220
9375201872643
10120574917264
1147154440a5a
121b450367240
13b4a73401b9
145b9b840544
15320a6bb629
hex1c12d33a90

120574917264 has 80 divisors (see below), whose sum is σ = 330787274688. Its totient is φ = 37715091456.

The previous prime is 120574917251. The next prime is 120574917271. The reversal of 120574917264 is 462719475021.

120574917264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 55759 + ... + 494225.

Almost surely, 2120574917264 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 120574917264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165393637344).

120574917264 is an abundant number, since it is smaller than the sum of its proper divisors (210212357424).

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

120574917264 is a wasteful number, since it uses less digits than its factorization.

120574917264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438832 (or 438826 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 120574917264 in words is "one hundred twenty billion, five hundred seventy-four million, nine hundred seventeen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 337 408 674 816 1011 1348 2022 2696 4044 5392 5729 8088 11458 16176 17187 22916 34374 45832 68748 91664 137496 274992 438467 876934 1315401 1753868 2630802 3507736 5261604 7015472 7453939 10523208 14907878 21046416 22361817 29815756 44723634 59631512 89447268 119263024 147763379 178894536 295526758 357789072 443290137 591053516 886580274 1182107032 1773160548 2364214064 2511977443 3546321096 5023954886 7092642192 7535932329 10047909772 15071864658 20095819544 30143729316 40191639088 60287458632 120574917264