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5315727312 = 2432716332353
BaseRepresentation
bin1001111001101011…
…11000111111010000
3111201110110221000100
410330311320333100
541341311233222
62235250252400
7245504636160
oct47465707720
914643427010
105315727312
112288653675
121044287100
136693a509c
14385daa5a0
15211a204ac
hex13cd78fd0

5315727312 has 120 divisors (see below), whose sum is σ = 17106724544. Its totient is φ = 1509414912.

The previous prime is 5315727293. The next prime is 5315727349. The reversal of 5315727312 is 2137275135.

It is a happy number.

5315727312 is a `hidden beast` number, since 5 + 3 + 1 + 572 + 73 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148128 + ... + 180480.

Almost surely, 25315727312 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 5315727312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553362272).

5315727312 is an abundant number, since it is smaller than the sum of its proper divisors (11790997232).

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

5315727312 is a wasteful number, since it uses less digits than its factorization.

5315727312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32537 (or 32528 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 5315727312 is about 72909.0345019052. The cubic root of 5315727312 is about 1745.2362755355.

The spelling of 5315727312 in words is "five billion, three hundred fifteen million, seven hundred twenty-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 163 168 252 326 336 489 504 652 978 1008 1141 1304 1467 1956 2282 2608 2934 3423 3912 4564 5868 6846 7824 9128 10269 11736 13692 18256 20538 23472 27384 32353 41076 54768 64706 82152 97059 129412 164304 194118 226471 258824 291177 388236 452942 517648 582354 679413 776472 905884 1164708 1358826 1552944 1811768 2038239 2329416 2717652 3623536 4076478 4658832 5273539 5435304 8152956 10547078 10870608 15820617 16305912 21094156 31641234 32611824 36914773 42188312 47461851 63282468 73829546 84376624 94923702 110744319 126564936 147659092 189847404 221488638 253129872 295318184 332232957 379694808 442977276 590636368 664465914 759389616 885954552 1328931828 1771909104 2657863656 5315727312