Search a number
-
+
45207117096904 = 2373798340515479
BaseRepresentation
bin10100100011101100110100…
…01001111110011111001000
312221001202110201101210202201
422101312122021332133020
521411133133434100104
6240051510215005544
712344051335062430
oct1221663211763710
9187052421353681
1045207117096904
111344a25a065aa4
1250a15380698b4
131c2c022302529
14b240712612c0
15535e1a60c0a4
hex291d9a27e7c8

45207117096904 has 128 divisors (see below), whose sum is σ = 99634543718400. Its totient is φ = 18823582483200.

The previous prime is 45207117096833. The next prime is 45207117096929. The reversal of 45207117096904 is 40969071170254.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8250976837 + ... + 8250982315.

It is an arithmetic number, because the mean of its divisors is an integer number (778394872800).

Almost surely, 245207117096904 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 45207117096904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49817271859200).

45207117096904 is an abundant number, since it is smaller than the sum of its proper divisors (54427426621496).

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

45207117096904 is a wasteful number, since it uses less digits than its factorization.

45207117096904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10563 (or 10559 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 45207117096904 in words is "forty-five trillion, two hundred seven billion, one hundred seventeen million, ninety-six thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 983 1036 1966 2072 3932 4051 5479 6881 7864 8102 10958 13762 16204 21916 27524 28357 32408 36371 38353 43832 55048 56714 72742 76706 113428 145484 149887 153412 202723 226856 254597 290968 299774 306824 405446 509194 599548 810892 1018388 1049209 1199096 1419061 1621784 2036776 2098418 2838122 3982133 4196836 5385857 5676244 7964266 8393672 10771714 11352488 15928532 21543428 22195429 27874931 31857064 37700999 43086856 44390858 55749862 75401998 88781716 111499724 147338921 150803996 155368003 177563432 199276709 222999448 294677842 301607992 310736006 398553418 589355684 621472012 797106836 821230873 1031372447 1178711368 1242944024 1394936963 1594213672 1642461746 2062744894 2789873926 3284923492 4125489788 5579747852 5748616111 6569846984 8250979576 11159495704 11497232222 21818106707 22994464444 43636213414 45988928888 87272426828 152726746949 174544853656 305453493898 610906987796 807269948159 1221813975592 1614539896318 3229079792636 5650889637113 6458159585272 11301779274226 22603558548452 45207117096904