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45733300626756 = 22333195507208511
BaseRepresentation
bin10100110011000000111010…
…01000110110010101000100
312222221001122100112122120010
422121200131020312111010
521443243244430024011
6241133331022110220
712430056552223611
oct1231403510662504
9188831570478503
1045733300626756
1113632424a36a66
125167505a1b370
131c69829c32422
14b41709ab1508
15544964c981a6
hex29981d236544

45733300626756 has 48 divisors (see below), whose sum is σ = 106763081564160. Its totient is φ = 15237000028320.

The previous prime is 45733300626719. The next prime is 45733300626779. The reversal of 45733300626756 is 65762600333754.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45733300626696 and 45733300626705.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219228541 + ... + 219437051.

It is an arithmetic number, because the mean of its divisors is an integer number (2224230865920).

Almost surely, 245733300626756 is an apocalyptic number.

It is an amenable number.

45733300626756 is an abundant number, since it is smaller than the sum of its proper divisors (61029780937404).

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

45733300626756 is a wasteful number, since it uses less digits than its factorization.

45733300626756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217344 (or 217342 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 57.

The spelling of 45733300626756 in words is "forty-five trillion, seven hundred thirty-three billion, three hundred million, six hundred twenty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 3319 5507 6638 9957 11014 13276 16521 19914 22028 33042 39828 66084 208511 417022 625533 834044 1251066 2502132 18277733 36555466 54833199 73110932 109666398 219332796 692048009 1148270077 1384096018 2076144027 2296540154 2768192036 3444810231 4152288054 4593080308 6889620462 8304576108 13779240924 3811108385563 7622216771126 11433325156689 15244433542252 22866650313378 45733300626756