Search a number
-
+
948090544520 = 235753422915107
BaseRepresentation
bin11011100101111101001…
…10011010000110001000
310100122012001121212100212
431302332212122012020
5111013142134411040
62003314034420252
7125332365442460
oct15627646320610
93318161555325
10948090544520
113360a0439769
121338b5731688
136b534a64502
1433c602aaba0
15199de446d65
hexdcbe99a188

948090544520 has 128 divisors (see below), whose sum is σ = 2484697939200. Its totient is φ = 318829894656.

The previous prime is 948090544501. The next prime is 948090544547. The reversal of 948090544520 is 25445090849.

948090544520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 62750807 + ... + 62765913.

It is an arithmetic number, because the mean of its divisors is an integer number (19411702650).

Almost surely, 2948090544520 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 948090544520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242348969600).

948090544520 is an abundant number, since it is smaller than the sum of its proper divisors (1536607394680).

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

948090544520 is a wasteful number, since it uses less digits than its factorization.

948090544520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19407 (or 19403 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 948090544520 in words is "nine hundred forty-eight billion, ninety million, five hundred forty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 1060 1484 1855 2120 2968 3710 4229 7420 8458 14840 15107 16916 21145 29603 30214 33832 42290 59206 60428 75535 84580 105749 118412 120856 148015 151070 169160 211498 224137 236824 296030 302140 422996 448274 528745 592060 604280 800671 845992 896548 1057490 1120685 1184120 1568959 1601342 1793096 2114980 2241370 3137918 3202684 4003355 4229960 4482740 5604697 6275836 6405368 7844795 8006710 8965480 11209394 12551672 15689590 16013420 22418788 28023485 31379180 32026840 44837576 56046970 62758360 63887503 112093940 127775006 224187880 255550012 319437515 447212521 511100024 638875030 894425042 1277750060 1788850084 2236062605 2555500120 3386037659 3577700168 4472125210 6772075318 8944250420 13544150636 16930188295 17888500840 23702263613 27088301272 33860376590 47404527226 67720753180 94809054452 118511318065 135441506360 189618108904 237022636130 474045272260 948090544520