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264432644265020 = 225711193798860597
BaseRepresentation
bin111100001000000000000101…
…110101000001010000111100
31021200021111212122020010112012
4330020000011311001100330
5234124431023412440040
62334222402454030352
7106461425302120610
oct7410000565012074
91250244778203465
10264432644265020
1177290288a40940
12257a89996483b8
13b471b7840a07a
14494287314d340
152088777345865
hexf08005d4143c

264432644265020 has 96 divisors (see below), whose sum is σ = 692368545415680. Its totient is φ = 82416302058240.

The previous prime is 264432644265017. The next prime is 264432644265037. The reversal of 264432644265020 is 20562446234462.

It is a super-2 number, since 2×2644326442650202 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264432644265020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25413362 + ... + 34273958.

It is an arithmetic number, because the mean of its divisors is an integer number (7212172348080).

Almost surely, 2264432644265020 is an apocalyptic number.

264432644265020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264432644265020 is an abundant number, since it is smaller than the sum of its proper divisors (427935901150660).

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

264432644265020 is a wasteful number, since it uses less digits than its factorization.

264432644265020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8880003 (or 8880001 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 50.

The spelling of 264432644265020 in words is "two hundred sixty-four trillion, four hundred thirty-two billion, six hundred forty-four million, two hundred sixty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 19379 38758 77516 96895 135653 193790 213169 271306 387580 426338 542612 678265 852676 1065845 1356530 1492183 2131690 2713060 2984366 4263380 5968732 7460915 8860597 14921830 17721194 29843660 35442388 44302985 62024179 88605970 97466567 124048358 177211940 194933134 248096716 310120895 389866268 487332835 620241790 682265969 974665670 1240483580 1364531938 1949331340 2729063876 3411329845 6822659690 13645319380 171709509263 343419018526 686838037052 858547546315 1201966564841 1717095092630 1888804601893 2403933129682 3434190185260 3777609203786 4807866259364 6009832824205 7555218407572 9444023009465 12019665648410 13221632213251 18888046018930 24039331296820 26443264426502 37776092037860 52886528853004 66108161066255 132216322132510 264432644265020