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6231164016 = 2437116725163
BaseRepresentation
bin1011100110110100…
…00000010001110000
3121002021000221002110
411303122000101300
5100230134222031
62510151245320
7310262006640
oct56332002160
917067027073
106231164016
112708369830
12125a979840
13783c44acc
144317c4520
1526709ac46
hex173680470

6231164016 has 160 divisors (see below), whose sum is σ = 20369553408. Its totient is φ = 1594264320.

The previous prime is 6231163999. The next prime is 6231164053. The reversal of 6231164016 is 6104611326.

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 31 ways as a sum of consecutive naturals, for example, 235051 + ... + 260213.

Almost surely, 26231164016 is an apocalyptic number.

6231164016 is a gapful number since it is divisible by the number (66) 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 6231164016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10184776704).

6231164016 is an abundant number, since it is smaller than the sum of its proper divisors (14138389392).

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

6231164016 is a wasteful number, since it uses less digits than its factorization.

6231164016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25259 (or 25253 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6231164016 is about 78937.7223892354. The cubic root of 6231164016 is about 1840.1634243630.

The spelling of 6231164016 in words is "six billion, two hundred thirty-one million, one hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 67 77 84 88 112 132 134 154 168 176 201 231 264 268 308 336 402 462 469 528 536 616 737 804 924 938 1072 1232 1407 1474 1608 1848 1876 2211 2814 2948 3216 3696 3752 4422 5159 5628 5896 7504 8844 10318 11256 11792 15477 17688 20636 22512 25163 30954 35376 41272 50326 61908 75489 82544 100652 123816 150978 176141 201304 247632 276793 301956 352282 402608 528423 553586 603912 704564 830379 1056846 1107172 1207824 1409128 1660758 1685921 1937551 2113692 2214344 2818256 3321516 3371842 3875102 4227384 4428688 5057763 5812653 6643032 6743684 7750204 8454768 10115526 11625306 11801447 13286064 13487368 15500408 18545131 20231052 23250612 23602894 26974736 31000816 35404341 37090262 40462104 46501224 47205788 55635393 70808682 74180524 80924208 93002448 94411576 111270786 129815917 141617364 148361048 188823152 222541572 259631834 283234728 296722096 389447751 445083144 519263668 566469456 778895502 890166288 1038527336 1557791004 2077054672 3115582008 6231164016