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5117519394 = 23213192292089
BaseRepresentation
bin1001100010000011…
…10010011000100010
3111012122111220212100
410301001302120202
540440041110034
62203450111230
7240550124421
oct46101623042
914178456770
105117519394
112196785079
12ba9a1b516
136372c76b0
143679332b8
151ee41c099
hex131072622

5117519394 has 144 divisors (see below), whose sum is σ = 13043230200. Its totient is φ = 1439617536.

The previous prime is 5117519383. The next prime is 5117519399. The reversal of 5117519394 is 4939157115.

It can be written as a sum of positive squares in 4 ways, for example, as 4485650625 + 631868769 = 66975^2 + 25137^2 .

It is a super-2 number, since 2×51175193942 = 52378009495932254472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5117519399) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2448702 + ... + 2450790.

Almost surely, 25117519394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5117519394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521615100).

5117519394 is an abundant number, since it is smaller than the sum of its proper divisors (7925710806).

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

5117519394 is a wasteful number, since it uses less digits than its factorization.

5117519394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2155 counting only the distinct ones).

The product of its digits is 170100, while the sum is 45.

The square root of 5117519394 is about 71536.8394185821. The cubic root of 5117519394 is about 1723.2693579138.

The spelling of 5117519394 in words is "five billion, one hundred seventeen million, five hundred nineteen thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 19 26 29 38 39 57 58 78 87 114 117 171 174 234 247 261 342 361 377 494 522 551 722 741 754 1083 1102 1131 1482 1653 2089 2166 2223 2262 3249 3306 3393 4178 4446 4693 4959 6267 6498 6786 7163 9386 9918 10469 12534 14079 14326 18801 20938 21489 27157 28158 31407 37602 39691 42237 42978 54314 60581 62814 64467 79382 81471 84474 94221 119073 121162 128934 136097 162942 181743 188442 238146 244413 272194 357219 363486 408291 488826 515983 545229 714438 754129 787553 816582 1031966 1090458 1151039 1224873 1508258 1547949 1575106 2262387 2302078 2362659 2449746 3095898 3453117 4524774 4643847 4725318 6787161 6906234 7087977 9287694 9803677 10359351 13574322 14175954 14963507 19607354 20718702 21869741 29411031 29927014 43739482 44890521 58822062 65609223 88233093 89781042 131218446 134671563 176466186 196827669 269343126 284306633 393655338 568613266 852919899 1705839798 2558759697 5117519394