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482519301138 = 232767197290137
BaseRepresentation
bin1110000010110000110…
…01000011110000010010
31201010110121012012110100
413001120121003300102
530401144420114023
61005355531113230
746601164246620
oct7013031036022
91633417165410
10482519301138
111766a9625736
12796228a2816
133666969c894
14194d5774510
15c841156c43
hex7058643c12

482519301138 has 96 divisors (see below), whose sum is σ = 1218802425984. Its totient is φ = 135115174656.

The previous prime is 482519301107. The next prime is 482519301169. The reversal of 482519301138 is 831103915284.

482519301138 is a `hidden beast` number, since 482 + 5 + 1 + 9 + 30 + 1 + 138 = 666.

It is an interprime number because it is at equal distance from previous prime (482519301107) and next prime (482519301169).

It is a junction number, because it is equal to n+sod(n) for n = 482519301093 and 482519301102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1518006 + ... + 1808142.

It is an arithmetic number, because the mean of its divisors is an integer number (12695858604).

Almost surely, 2482519301138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482519301138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609401212992).

482519301138 is an abundant number, since it is smaller than the sum of its proper divisors (736283124846).

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

482519301138 is a wasteful number, since it uses less digits than its factorization.

482519301138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290416 (or 290413 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 482519301138 in words is "four hundred eighty-two billion, five hundred nineteen million, three hundred one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 197 201 394 402 469 591 603 938 1182 1206 1379 1407 1773 2758 2814 3546 4137 4221 8274 8442 12411 13199 24822 26398 39597 79194 92393 118791 184786 237582 277179 290137 554358 580274 831537 870411 1663074 1740822 2030959 2611233 4061918 5222466 6092877 12185754 18278631 19439179 36557262 38878358 57156989 58317537 114313978 116635074 136074253 171470967 174952611 272148506 342941934 349905222 400098923 408222759 514412901 800197846 816445518 1028825802 1200296769 1224668277 2400593538 2449336554 3600890307 3829518263 7201780614 7659036526 11488554789 22977109578 26806627841 34465664367 53613255682 68931328734 80419883523 160839767046 241259650569 482519301138