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5040464616 = 23321147135409
BaseRepresentation
bin1001011000110111…
…10110001011101000
3111000021112010120200
410230123312023220
540310324331431
62152054352200
7235623146055
oct45433661350
914007463520
105040464616
112157235740
12b8805b660
13624358a55
1435b5d602c
151e779aee6
hex12c6f62e8

5040464616 has 96 divisors (see below), whose sum is σ = 15209251200. Its totient is φ = 1494904320.

The previous prime is 5040464603. The next prime is 5040464617. The reversal of 5040464616 is 6164640405.

5040464616 is a `hidden beast` number, since 5 + 0 + 4 + 0 + 4 + 646 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5040464617) 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 23 ways as a sum of consecutive naturals, for example, 30481 + ... + 104928.

It is an arithmetic number, because the mean of its divisors is an integer number (158429700).

Almost surely, 25040464616 is an apocalyptic number.

It is an amenable number.

5040464616 is an abundant number, since it is smaller than the sum of its proper divisors (10168786584).

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

5040464616 is a wasteful number, since it uses less digits than its factorization.

5040464616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135479 (or 135472 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5040464616 is about 70996.2295900282. The cubic root of 5040464616 is about 1714.5764597102.

The spelling of 5040464616 in words is "five billion, forty million, four hundred sixty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 47 66 72 88 94 99 132 141 188 198 264 282 376 396 423 517 564 792 846 1034 1128 1551 1692 2068 3102 3384 4136 4653 6204 9306 12408 18612 37224 135409 270818 406227 541636 812454 1083272 1218681 1489499 1624908 2437362 2978998 3249816 4468497 4874724 5957996 6364223 8936994 9749448 11915992 12728446 13405491 17873988 19092669 25456892 26810982 35747976 38185338 50913784 53621964 57278007 70006453 76370676 107243928 114556014 140012906 152741352 210019359 229112028 280025812 420038718 458224056 560051624 630058077 840077436 1260116154 1680154872 2520232308 5040464616