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45840851820 = 223251012521499
BaseRepresentation
bin101010101100010100…
…111110001101101100
311101022201122112220200
4222230110332031230
51222340224224240
633020424313500
73211656545211
oct525424761554
9141281575820
1045840851820
1118493a69505
128a74012890
1344271984ba
14230c1cdb08
1512d4684930
hexaac53e36c

45840851820 has 72 divisors (see below), whose sum is σ = 140427378000. Its totient is φ = 12103190400.

The previous prime is 45840851801. The next prime is 45840851851. The reversal of 45840851820 is 2815804854.

45840851820 is a `hidden beast` number, since 458 + 40 + 85 + 1 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1242570 + ... + 1278929.

It is an arithmetic number, because the mean of its divisors is an integer number (1950380250).

Almost surely, 245840851820 is an apocalyptic number.

It is an amenable number.

45840851820 is an abundant number, since it is smaller than the sum of its proper divisors (94586526180).

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

45840851820 is a wasteful number, since it uses less digits than its factorization.

45840851820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521615 (or 2521610 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 45840851820 in words is "forty-five billion, eight hundred forty million, eight hundred fifty-one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 2521499 5042998 7564497 10085996 12607495 15128994 22693491 25214990 30257988 37822485 45386982 50429980 75644970 90773964 113467455 151289940 226934910 254671399 453869820 509342798 764014197 1018685596 1273356995 1528028394 2292042591 2546713990 3056056788 3820070985 4584085182 5093427980 7640141970 9168170364 11460212955 15280283940 22920425910 45840851820