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5736042468 = 223213193120809
BaseRepresentation
bin1010101011110010…
…10000111111100100
3112210202101011000100
411111321100333210
543221411324333
62345103144100
7262100361612
oct52571207744
915722334010
105736042468
112483934672
121140ba5030
137054aa390
143c5b3c6b2
15238898213
hex155e50fe4

5736042468 has 144 divisors (see below), whose sum is σ = 16967641600. Its totient is φ = 1618030080.

The previous prime is 5736042467. The next prime is 5736042497. The reversal of 5736042468 is 8642406375.

It is not an unprimeable number, because it can be changed into a prime (5736042461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265248 + ... + 286056.

Almost surely, 25736042468 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 5736042468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483820800).

5736042468 is an abundant number, since it is smaller than the sum of its proper divisors (11231599132).

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

5736042468 is a wasteful number, since it uses less digits than its factorization.

5736042468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20882 (or 20877 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5736042468 is about 75736.6652817511. The cubic root of 5736042468 is about 1790.0731811575.

The spelling of 5736042468 in words is "five billion, seven hundred thirty-six million, forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 31 36 38 39 52 57 62 76 78 93 114 117 124 156 171 186 228 234 247 279 342 372 403 468 494 558 589 684 741 806 988 1116 1178 1209 1482 1612 1767 2223 2356 2418 2964 3534 3627 4446 4836 5301 7068 7254 7657 8892 10602 14508 15314 20809 21204 22971 30628 41618 45942 62427 68913 83236 91884 124854 137826 187281 249708 270517 275652 374562 395371 541034 645079 749124 790742 811551 1082068 1186113 1290158 1581484 1623102 1935237 2372226 2434653 2580316 3246204 3558339 3870474 4744452 4869306 5139823 5805711 7116678 7740948 8386027 9738612 10279646 11611422 12256501 14233356 15419469 16772054 20559292 23222844 24513002 25158081 30838938 33544108 36769503 46258407 49026004 50316162 61677876 73539006 75474243 92516814 100632324 110308509 147078012 150948486 159334513 185033628 220617018 301896972 318669026 441234036 478003539 637338052 956007078 1434010617 1912014156 2868021234 5736042468