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2980848816 = 2433111736899
BaseRepresentation
bin1011000110101100…
…0010010010110000
321200201222210212000
42301223002102300
522101044130231
61211441534000
7133603540221
oct26153022260
97621883760
102980848816
11129a67a920
126b2344300
1338673a58a
14203c5d248
15126a5e6e6
hexb1ac24b0

2980848816 has 160 divisors (see below), whose sum is σ = 9883296000. Its totient is φ = 850129920.

The previous prime is 2980848811. The next prime is 2980848817. The reversal of 2980848816 is 6188480892.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2980848811) by changing a digit.

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, 62335 + ... + 99233.

It is an arithmetic number, because the mean of its divisors is an integer number (61770600).

Almost surely, 22980848816 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 2980848816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4941648000).

2980848816 is an abundant number, since it is smaller than the sum of its proper divisors (6902447184).

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

2980848816 is a wasteful number, since it uses less digits than its factorization.

2980848816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36944 (or 36932 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 2980848816 is about 54597.1502553018. The cubic root of 2980848816 is about 1439.1740402228.

The spelling of 2980848816 in words is "two billion, nine hundred eighty million, eight hundred forty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 6732 7344 8976 10098 13464 20196 26928 36899 40392 73798 80784 110697 147596 221394 295192 332091 405889 442788 590384 627283 664182 811778 885576 996273 1217667 1254566 1328364 1623556 1771152 1881849 1992546 2435334 2509132 2656728 3247112 3653001 3763698 3985092 4870668 5018264 5313456 5645547 6494224 6900113 7306002 7527396 7970184 9741336 10036528 10959003 11291094 13800226 14612004 15054792 15940368 16936641 19482672 20700339 21918006 22582188 27600452 29224008 30109584 33873282 41400678 43836012 45164376 55200904 58448016 62101017 67746564 82801356 87672024 90328752 110401808 124202034 135493128 165602712 175344048 186303051 248404068 270986256 331205424 372606102 496808136 745212204 993616272 1490424408 2980848816