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82998488489928 = 23311314388213977
BaseRepresentation
bin10010110111110010010111…
…011011000101111111001000
3101212212120121100221122001120
4102313302113123011333020
541334321401023134203
6452304551303115240
723324304626550504
oct2267622733057710
9355776540848046
1082998488489928
112449a508a93a40
1293857b5a42b20
13374095449cb5b
14166d210c2d304
1598deab60cb53
hex4b7c976c5fc8

82998488489928 has 32 divisors (see below), whose sum is σ = 226359514064160. Its totient is φ = 25151057118080.

The previous prime is 82998488489927. The next prime is 82998488489963.

It is a happy number.

82998488489928 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×829984884899282 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82998488489927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157194106725 + ... + 157194107252.

It is an arithmetic number, because the mean of its divisors is an integer number (7073734814505).

Almost surely, 282998488489928 is an apocalyptic number.

82998488489928 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82998488489928 is an abundant number, since it is smaller than the sum of its proper divisors (143361025574232).

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

82998488489928 is a wasteful number, since it uses less digits than its factorization.

82998488489928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314388213997 (or 314388213993 counting only the distinct ones).

The product of its digits is 110075314176, while the sum is 96.

The spelling of 82998488489928 in words is "eighty-two trillion, nine hundred ninety-eight billion, four hundred eighty-eight million, four hundred eighty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 314388213977 628776427954 943164641931 1257552855908 1886329283862 2515105711816 3458270353747 3772658567724 6916540707494 7545317135448 10374811061241 13833081414988 20749622122482 27666162829976 41499244244964 82998488489928