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4912319016 = 23321114941627
BaseRepresentation
bin1001001001100110…
…00000101000101000
3110200100101122212100
410210303000220220
540030023202031
62131240013400
7232506010533
oct44463005050
913610348770
104912319016
1120a096aa90
12b51161260
1360393c357
14348599a1a
151db3d6de6
hex124cc0a28

4912319016 has 96 divisors (see below), whose sum is σ = 14611428000. Its totient is φ = 1478555520.

The previous prime is 4912319003. The next prime is 4912319039. The reversal of 4912319016 is 6109132194.

It is a happy number.

It is a super-2 number, since 2×49123190162 = 48261756229910416512, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97195 + ... + 138821.

It is an arithmetic number, because the mean of its divisors is an integer number (152202375).

Almost surely, 24912319016 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 4912319016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7305714000).

4912319016 is an abundant number, since it is smaller than the sum of its proper divisors (9699108984).

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

4912319016 is a wasteful number, since it uses less digits than its factorization.

4912319016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41799 (or 41792 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 4912319016 is about 70087.9377353907. The cubic root of 4912319016 is about 1699.9214515034.

The spelling of 4912319016 in words is "four billion, nine hundred twelve million, three hundred nineteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 149 198 264 298 396 447 596 792 894 1192 1341 1639 1788 2682 3278 3576 4917 5364 6556 9834 10728 13112 14751 19668 29502 39336 41627 59004 83254 118008 124881 166508 249762 333016 374643 457897 499524 749286 915794 999048 1373691 1498572 1831588 2747382 2997144 3663176 4121073 5494764 6202423 8242146 10989528 12404846 16484292 18607269 24809692 32968584 37214538 49619384 55821807 68226653 74429076 111643614 136453306 148858152 204679959 223287228 272906612 409359918 446574456 545813224 614039877 818719836 1228079754 1637439672 2456159508 4912319016