Search a number
-
+
5127362304 = 28331283761
BaseRepresentation
bin1001100011001110…
…10101011100000000
3111020100000222210120
410301213111130000
541000101043204
62204441100240
7241026601101
oct46147253400
914210028716
105127362304
1121a1298209
12bb1187680
136393628bc
14368d763a8
152002136d9
hex1319d5700

5127362304 has 144 divisors (see below), whose sum is σ = 14154814464. Its totient is φ = 1645977600.

The previous prime is 5127362281. The next prime is 5127362311. The reversal of 5127362304 is 4032637215.

It is a super-3 number, since 3×51273623043 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6737284 + ... + 6738044.

Almost surely, 25127362304 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 5127362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077407232).

5127362304 is an abundant number, since it is smaller than the sum of its proper divisors (9027452160).

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

5127362304 is a wasteful number, since it uses less digits than its factorization.

5127362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 5127362304 is about 71605.6024623772. The cubic root of 5127362304 is about 1724.3734815293.

Adding to 5127362304 its reverse (4032637215), we get a palindrome (9159999519).

The spelling of 5127362304 in words is "five billion, one hundred twenty-seven million, three hundred sixty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 283 372 384 496 566 744 761 768 849 992 1132 1488 1522 1698 1984 2264 2283 2976 3044 3396 3968 4528 4566 5952 6088 6792 7936 8773 9056 9132 11904 12176 13584 17546 18112 18264 23591 23808 24352 26319 27168 35092 36224 36528 47182 48704 52638 54336 70184 70773 72448 73056 94364 97408 105276 108672 140368 141546 146112 188728 194816 210552 215363 217344 280736 283092 292224 377456 421104 430726 561472 566184 584448 646089 754912 842208 861452 1122944 1132368 1292178 1509824 1684416 1722904 2245888 2264736 2584356 3019648 3368832 3445808 4529472 5168712 6039296 6676253 6737664 6891616 9058944 10337424 13352506 13783232 18117888 20028759 20674848 26705012 27566464 40057518 41349696 53410024 55132928 80115036 82699392 106820048 160230072 165398784 213640096 320460144 427280192 640920288 854560384 1281840576 1709120768 2563681152 5127362304