Search a number
-
+
10442997152 = 257113412571
BaseRepresentation
bin10011011100111001…
…10111110110100000
3222221210100012222022
421232130313312200
5132341401402102
64444125401012
7516534003560
oct115634676640
928853305868
1010442997152
114479888365
122035409168
13ca5704873
14710d1ada0
15411c165a2
hex26e737da0

10442997152 has 48 divisors (see below), whose sum is σ = 23704736832. Its totient is φ = 4435952640.

The previous prime is 10442997091. The next prime is 10442997181. The reversal of 10442997152 is 25179924401.

It is a super-2 number, since 2×104429971522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180974 + ... + 231597.

It is an arithmetic number, because the mean of its divisors is an integer number (493848684).

Almost surely, 210442997152 is an apocalyptic number.

It is an amenable number.

10442997152 is an abundant number, since it is smaller than the sum of its proper divisors (13261739680).

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

10442997152 is a wasteful number, since it uses less digits than its factorization.

10442997152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412701 (or 412693 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 10442997152 in words is "ten billion, four hundred forty-two million, nine hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 113 224 226 452 791 904 1582 1808 3164 3616 6328 12656 25312 412571 825142 1650284 2887997 3300568 5775994 6601136 11551988 13202272 23103976 46207952 46620523 92415904 93241046 186482092 326343661 372964184 652687322 745928368 1305374644 1491856736 2610749288 5221498576 10442997152