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48973637984 = 2523307921611
BaseRepresentation
bin101101100111000011…
…100110100101100000
311200102001112120121212
4231213003212211200
51300244222403414
634255335005252
73352420024445
oct554703464540
9150361476555
1048973637984
1119851384087
1295a9209828
13480623271b
1425282bd9cc
15141970783e
hexb670e6960

48973637984 has 48 divisors (see below), whose sum is σ = 100646219520. Its totient is φ = 23413484160.

The previous prime is 48973637983. The next prime is 48973638011.

48973637984 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48973637983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2255339 + ... + 2276949.

It is an arithmetic number, because the mean of its divisors is an integer number (2096796240).

Almost surely, 248973637984 is an apocalyptic number.

It is an amenable number.

48973637984 is an abundant number, since it is smaller than the sum of its proper divisors (51672581536).

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

48973637984 is a wasteful number, since it uses less digits than its factorization.

48973637984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24723 (or 24715 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 68.

The spelling of 48973637984 in words is "forty-eight billion, nine hundred seventy-three million, six hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 3079 6158 12316 21611 24632 43222 49264 70817 86444 98528 141634 172888 283268 345776 497053 566536 691552 994106 1133072 1988212 2266144 3976424 7952848 15905696 66540269 133080538 266161076 532322152 1064644304 1530426187 2129288608 3060852374 6121704748 12243409496 24486818992 48973637984