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5187340764 = 223417255399
BaseRepresentation
bin1001101010011000…
…01000100111011100
3111101111220012210000
410311030020213130
541110424401024
62214422414300
7242355445314
oct46514104734
914344805700
105187340764
112222133991
121009291390
13648902b08
14372d0a444
1520560ecc9
hex1353089dc

5187340764 has 90 divisors (see below), whose sum is σ = 14405606600. Its totient is φ = 1627371648.

The previous prime is 5187340681. The next prime is 5187340783. The reversal of 5187340764 is 4670437815.

5187340764 is a `hidden beast` number, since 5 + 187 + 3 + 407 + 64 = 666.

It is a super-2 number, since 2×51873407642 = 53817008403712207392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 65937 + ... + 121335.

Almost surely, 25187340764 is an apocalyptic number.

5187340764 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5187340764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202803300).

5187340764 is an abundant number, since it is smaller than the sum of its proper divisors (9218265836).

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

5187340764 is a wasteful number, since it uses less digits than its factorization.

5187340764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55449 (or 55421 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5187340764 is about 72023.1960135066. The cubic root of 5187340764 is about 1731.0711804183.

The spelling of 5187340764 in words is "five billion, one hundred eighty-seven million, three hundred forty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 867 918 1156 1377 1734 1836 2601 2754 3468 5202 5508 7803 10404 15606 23409 31212 46818 55399 93636 110798 166197 221596 332394 498591 664788 941783 997182 1495773 1883566 1994364 2825349 2991546 3767132 4487319 5650698 5983092 8476047 8974638 11301396 16010311 16952094 17949276 25428141 32020622 33904188 48030933 50856282 64041244 76284423 96061866 101712564 144092799 152568846 192123732 288185598 305137692 432278397 576371196 864556794 1296835191 1729113588 2593670382 5187340764