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4382017974564 = 22317310289205151
BaseRepresentation
bin111111110001000100100…
…111111111000100100100
3120111220202100220112100220
4333301010213333010210
51033243333100141224
613153023221004340
7631406330134026
oct77610447770444
916456670815326
104382017974564
11143a4489a911a
125a9320b536b0
1325a2b7b5aa29
1411213b234016
1578ebdd9b279
hex3fc449ff124

4382017974564 has 48 divisors (see below), whose sum is σ = 10284860597760. Its totient is φ = 1452081241600.

The previous prime is 4382017974539. The next prime is 4382017974569. The reversal of 4382017974564 is 4654797102834.

It is a junction number, because it is equal to n+sod(n) for n = 4382017974498 and 4382017974507.

It is not an unprimeable number, because it can be changed into a prime (4382017974569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21257389 + ... + 21462539.

It is an arithmetic number, because the mean of its divisors is an integer number (214267929120).

It is a 2-persistent number, because it is pandigital, and so is 2⋅4382017974564 = 8764035949128, but 3⋅4382017974564 = 13146053923692 is not.

Almost surely, 24382017974564 is an apocalyptic number.

It is an amenable number.

4382017974564 is an abundant number, since it is smaller than the sum of its proper divisors (5902842623196).

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

4382017974564 is a wasteful number, since it uses less digits than its factorization.

4382017974564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215620 (or 215618 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 4382017974564 in words is "four trillion, three hundred eighty-two billion, seventeen million, nine hundred seventy-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 173 346 519 692 1038 2076 10289 20578 30867 41156 61734 123468 205151 410302 615453 820604 1230906 1779997 2461812 3559994 5339991 7119988 10679982 21359964 35491123 70982246 106473369 141964492 212946738 425893476 2110798639 4221597278 6332395917 8443194556 12664791834 25329583668 365168164547 730336329094 1095504493641 1460672658188 2191008987282 4382017974564