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5379972624 = 2432133192707
BaseRepresentation
bin1010000001010101…
…11101111000010000
3111212221100221000100
411000222331320100
542004233110444
62245503252400
7250215004245
oct50052757020
914787327010
105379972624
112310944074
1210618aa100
136797aa470
143907315cc
152174b0e69
hex140abde10

5379972624 has 120 divisors (see below), whose sum is σ = 16737873152. Its totient is φ = 1601959680.

The previous prime is 5379972589. The next prime is 5379972629. The reversal of 5379972624 is 4262799735.

5379972624 is a `hidden beast` number, since 5 + 3 + 7 + 9 + 9 + 7 + 2 + 624 = 666.

It is not an unprimeable number, because it can be changed into a prime (5379972629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11679 + ... + 104385.

Almost surely, 25379972624 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 5379972624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8368936576).

5379972624 is an abundant number, since it is smaller than the sum of its proper divisors (11357900528).

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

5379972624 is a wasteful number, since it uses less digits than its factorization.

5379972624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92765 (or 92756 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 5379972624 is about 73348.2966673392. The cubic root of 5379972624 is about 1752.2390522624.

The spelling of 5379972624 in words is "five billion, three hundred seventy-nine million, nine hundred seventy-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 36 39 48 52 62 72 78 93 104 117 124 144 156 186 208 234 248 279 312 372 403 468 496 558 624 744 806 936 1116 1209 1488 1612 1872 2232 2418 3224 3627 4464 4836 6448 7254 9672 14508 19344 29016 58032 92707 185414 278121 370828 556242 741656 834363 1112484 1205191 1483312 1668726 2224968 2410382 2873917 3337452 3615573 4449936 4820764 5747834 6674904 7231146 8621751 9641528 10846719 11495668 13349808 14462292 17243502 19283056 21693438 22991336 25865253 28924584 34487004 37360921 43386876 45982672 51730506 57849168 68974008 74721842 86773752 103461012 112082763 137948016 149443684 173547504 206922024 224165526 298887368 336248289 413844048 448331052 597774736 672496578 896662104 1344993156 1793324208 2689986312 5379972624