Search a number
-
+
5338187520 = 28357431871
BaseRepresentation
bin1001111100010111…
…00100011100000000
3111210000202000121220
410332023210130000
541413034000040
62241411515040
7246166562631
oct47613443400
914700660556
105338187520
11229a2a4326
12104b8b8a80
13670c3a253
14388d75888
152139aa2d0
hex13e2e4700

5338187520 has 144 divisors (see below), whose sum is σ = 17080906752. Its totient is φ = 1420840960.

The previous prime is 5338187509. The next prime is 5338187551. The reversal of 5338187520 is 257818335.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852185 + ... + 2854055.

It is an arithmetic number, because the mean of its divisors is an integer number (118617408).

Almost surely, 25338187520 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 5338187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8540453376).

5338187520 is an abundant number, since it is smaller than the sum of its proper divisors (11742719232).

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

5338187520 is a wasteful number, since it uses less digits than its factorization.

5338187520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2638 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 5338187520 is about 73062.9011195148. The cubic root of 5338187520 is about 1747.6908340696.

The spelling of 5338187520 in words is "five billion, three hundred thirty-eight million, one hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 743 768 960 1280 1486 1871 1920 2229 2972 3715 3742 3840 4458 5613 5944 7430 7484 8916 9355 11145 11226 11888 14860 14968 17832 18710 22290 22452 23776 28065 29720 29936 35664 37420 44580 44904 47552 56130 59440 59872 71328 74840 89160 89808 95104 112260 118880 119744 142656 149680 178320 179616 190208 224520 237760 239488 285312 299360 356640 359232 449040 475520 478976 570624 598720 713280 718464 898080 951040 1197440 1390153 1426560 1436928 1796160 2394880 2780306 2853120 3592320 4170459 5560612 6950765 7184640 8340918 11121224 13901530 16681836 20852295 22242448 27803060 33363672 41704590 44484896 55606120 66727344 83409180 88969792 111212240 133454688 166818360 177939584 222424480 266909376 333636720 355879168 444848960 533818752 667273440 889697920 1067637504 1334546880 1779395840 2669093760 5338187520