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5130121644 = 223253297523
BaseRepresentation
bin1001100011100011…
…10111000110101100
3111020112020011220100
410301301313012230
541001302343034
62205020151100
7241062212604
oct46161670654
914215204810
105130121644
1121a290235a
12bb2098490
13639aba84b
14369493c04
152005ab099
hex131c771ac

5130121644 has 108 divisors (see below), whose sum is σ = 13378890616. Its totient is φ = 1657304064.

The previous prime is 5130121621. The next prime is 5130121649. The reversal of 5130121644 is 4461210315.

It is a happy number.

5130121644 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 12 + 1 + 644 = 666.

It is not an unprimeable number, because it can be changed into a prime (5130121649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9808767 + ... + 9809289.

Almost surely, 25130121644 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 5130121644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689445308).

5130121644 is an abundant number, since it is smaller than the sum of its proper divisors (8248768972).

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

5130121644 is a wasteful number, since it uses less digits than its factorization.

5130121644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5130121644 is about 71624.8674972596. The cubic root of 5130121644 is about 1724.6827555218.

Adding to 5130121644 its reverse (4461210315), we get a palindrome (9591331959).

The spelling of 5130121644 in words is "five billion, one hundred thirty million, one hundred twenty-one thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 97 106 159 194 212 291 318 388 477 523 582 636 873 954 1046 1164 1569 1746 1908 2092 2809 3138 3492 4707 5141 5618 6276 8427 9414 10282 11236 15423 16854 18828 20564 25281 27719 30846 33708 46269 50562 50731 55438 61692 83157 92538 101124 101462 110876 152193 166314 185076 202924 249471 272473 304386 332628 456579 498942 544946 608772 817419 913158 997884 1089892 1469107 1634838 1826316 2452257 2688743 2938214 3269676 4407321 4904514 5377486 5876428 8066229 8814642 9809028 10754972 13221963 16132458 17629284 24198687 26443926 32264916 48397374 52887852 96794748 142503379 285006758 427510137 570013516 855020274 1282530411 1710040548 2565060822 5130121644