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5380064316 = 22321183191857
BaseRepresentation
bin1010000001010110…
…10100010000111100
3111212221112120210100
411000223110100330
542004244024231
62245505241100
7250215535464
oct50053242074
914787476710
105380064316
1123109a6a50
121061933190
13679810113
14390756ba4
152174cd1e6
hex140ad443c

5380064316 has 144 divisors (see below), whose sum is σ = 15110903808. Its totient is φ = 1600377600.

The previous prime is 5380064309. The next prime is 5380064323. The reversal of 5380064316 is 6134600835.

5380064316 is a `hidden beast` number, since 5 + 3 + 8 + 0 + 0 + 643 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5380064309) and next prime (5380064323).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6277360 + ... + 6278216.

It is an arithmetic number, because the mean of its divisors is an integer number (104936832).

Almost surely, 25380064316 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 5380064316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555451904).

5380064316 is an abundant number, since it is smaller than the sum of its proper divisors (9730839492).

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

5380064316 is a wasteful number, since it uses less digits than its factorization.

5380064316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5380064316 is about 73348.9217098656. The cubic root of 5380064316 is about 1752.2490067982.

The spelling of 5380064316 in words is "five billion, three hundred eighty million, sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 191 198 249 332 382 396 498 573 747 764 857 913 996 1146 1494 1714 1719 1826 2101 2292 2571 2739 2988 3428 3438 3652 4202 5142 5478 6303 6876 7713 8217 8404 9427 10284 10956 12606 15426 15853 16434 18854 18909 25212 28281 30852 31706 32868 37708 37818 47559 56562 63412 71131 75636 84843 95118 113124 142262 142677 163687 169686 174383 190236 213393 284524 285354 327374 339372 348766 426786 491061 523149 570708 640179 654748 697532 782441 853572 982122 1046298 1280358 1473183 1564882 1569447 1800557 1964244 2092596 2347323 2560716 2946366 3129764 3138894 3601114 4694646 5401671 5892732 6277788 7041969 7202228 9389292 10803342 13586021 14083938 16205013 21606684 27172042 28167876 32410026 40758063 54344084 64820052 81516126 122274189 149446231 163032252 244548378 298892462 448338693 489096756 597784924 896677386 1345016079 1793354772 2690032158 5380064316