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99844145456 = 241119116325673
BaseRepresentation
bin101110011111100101…
…1001100000100110000
3100112201022101010000012
41130333023030010300
53113440100123311
6113511234314052
710133142143036
oct1347713140460
9315638333005
1099844145456
11393864652a0
1217425728928
139552440b13
144b92490556
1528e570078b
hex173f2cc130

99844145456 has 80 divisors (see below), whose sum is σ = 222340947840. Its totient is φ = 42956444160.

The previous prime is 99844145417. The next prime is 99844145473. The reversal of 99844145456 is 65454144899.

It is a junction number, because it is equal to n+sod(n) for n = 99844145395 and 99844145404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3876236 + ... + 3901908.

It is an arithmetic number, because the mean of its divisors is an integer number (2779261848).

Almost surely, 299844145456 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 99844145456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111170473920).

99844145456 is an abundant number, since it is smaller than the sum of its proper divisors (122496802384).

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

99844145456 is a wasteful number, since it uses less digits than its factorization.

99844145456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26874 (or 26868 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 59.

The spelling of 99844145456 in words is "ninety-nine billion, eight hundred forty-four million, one hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1163 1672 2326 3344 4652 9304 12793 18608 22097 25586 25673 44194 51172 51346 88388 102344 102692 176776 204688 205384 243067 282403 353552 410768 486134 487787 564806 972268 975574 1129612 1944536 1951148 2259224 3889072 3902296 4518448 5365657 7804592 10731314 21462628 29857699 42925256 59715398 85850512 119430796 238861592 328434689 477723184 567296281 656869378 1134592562 1313738756 2269185124 2627477512 4538370248 5254955024 6240259091 9076740496 12480518182 24961036364 49922072728 99844145456