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460974920556 = 223193316108217
BaseRepresentation
bin1101011010101000011…
…11110001001101101100
31122001212010122021022210
412231110033301031230
530023034034424211
6551434032210420
745206250113463
oct6552417611554
91561763567283
10460974920556
11168553363727
127540b699a10
13346150642a7
14184503159da
15becea269a6
hex6b543f136c

460974920556 has 48 divisors (see below), whose sum is σ = 1135639890560. Its totient is φ = 145131212160.

The previous prime is 460974920533. The next prime is 460974920591. The reversal of 460974920556 is 655029479064.

460974920556 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4609749205562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 460974920496 and 460974920505.

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, 2978641 + ... + 3129576.

Almost surely, 2460974920556 is an apocalyptic number.

It is an amenable number.

460974920556 is an abundant number, since it is smaller than the sum of its proper divisors (674664970004).

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

460974920556 is a wasteful number, since it uses less digits than its factorization.

460974920556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108574 (or 6108572 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 460974920556 in words is "four hundred sixty billion, nine hundred seventy-four million, nine hundred twenty thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 331 662 993 1324 1986 3972 6289 12578 18867 25156 37734 75468 6108217 12216434 18324651 24432868 36649302 73298604 116056123 232112246 348168369 464224492 696336738 1392673476 2021819827 4043639654 6065459481 8087279308 12130918962 24261837924 38414576713 76829153426 115243730139 153658306852 230487460278 460974920556