Search a number
-
+
9042948564 = 22313128944971
BaseRepresentation
bin10000110110000000…
…00111000111010100
3212100012220101100220
420123000013013110
5122004443323224
64053153434340
7440043536346
oct103300070724
925305811326
109042948564
113920566111
12190456b9b0
13b11639c50
1461add5296
1537dd62279
hex21b0071d4

9042948564 has 48 divisors (see below), whose sum is σ = 22741440960. Its totient is φ = 2780225280.

The previous prime is 9042948529. The next prime is 9042948581. The reversal of 9042948564 is 4658492409.

It is a super-2 number, since 2×90429485642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178599 + ... + 223569.

It is an arithmetic number, because the mean of its divisors is an integer number (473780020).

Almost surely, 29042948564 is an apocalyptic number.

It is an amenable number.

9042948564 is an abundant number, since it is smaller than the sum of its proper divisors (13698492396).

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

9042948564 is a wasteful number, since it uses less digits than its factorization.

9042948564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46280 (or 46278 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 9042948564 is about 95094.4192053351. The cubic root of 9042948564 is about 2083.3873372042.

The spelling of 9042948564 in words is "nine billion, forty-two million, nine hundred forty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 1289 2578 3867 5156 7734 15468 16757 33514 44971 50271 67028 89942 100542 134913 179884 201084 269826 539652 584623 1169246 1753869 2338492 3507738 7015476 57967619 115935238 173902857 231870476 347805714 695611428 753579047 1507158094 2260737141 3014316188 4521474282 9042948564