Search a number
-
+
24245045664 = 253736078937
BaseRepresentation
bin10110100101000111…
…100000100110100000
32022120200022221011020
4112211013200212200
5344123212430124
615045451245440
71515546326220
oct264507404640
968520287136
1024245045664
11a311772724
124847749880
132394cc5988
14125ddc6080
1596d797379
hex5a51e09a0

24245045664 has 48 divisors (see below), whose sum is σ = 72735139008. Its totient is φ = 6927155712.

The previous prime is 24245045633. The next prime is 24245045687. The reversal of 24245045664 is 46654054242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18038797 + ... + 18040140.

It is an arithmetic number, because the mean of its divisors is an integer number (1515315396).

Almost surely, 224245045664 is an apocalyptic number.

24245045664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

24245045664 is an abundant number, since it is smaller than the sum of its proper divisors (48490093344).

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

24245045664 is a wasteful number, since it uses less digits than its factorization.

24245045664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36078957 (or 36078949 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 24245045664 in words is "twenty-four billion, two hundred forty-five million, forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 36078937 72157874 108236811 144315748 216473622 252552559 288631496 432947244 505105118 577262992 757657677 865894488 1010210236 1154525984 1515315354 1731788976 2020420472 3030630708 3463577952 4040840944 6061261416 8081681888 12122522832 24245045664