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48722822784 = 273314098039
BaseRepresentation
bin101101011000000110…
…110100011010000000
311122202120120211212000
4231120012310122000
51244241020312114
634214415104000
73343253106006
oct553006643200
9148676524760
1048722822784
1119732843999
129539212000
134796295c6c
142502c70a76
1514026b1e09
hexb581b4680

48722822784 has 64 divisors (see below), whose sum is σ = 143800008000. Its totient is φ = 16240939776.

The previous prime is 48722822713. The next prime is 48722822801.

It is a happy number.

48722822784 is a `hidden beast` number, since 487 + 2 + 2 + 82 + 2 + 7 + 84 = 666.

48722822784 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48722822784.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7045564 + ... + 7052475.

It is an arithmetic number, because the mean of its divisors is an integer number (2246875125).

Almost surely, 248722822784 is an apocalyptic number.

It is an amenable number.

48722822784 is an abundant number, since it is smaller than the sum of its proper divisors (95077185216).

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

48722822784 is a wasteful number, since it uses less digits than its factorization.

48722822784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14098062 (or 14098044 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 54.

The spelling of 48722822784 in words is "forty-eight billion, seven hundred twenty-two million, eight hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 14098039 28196078 42294117 56392156 84588234 112784312 126882351 169176468 225568624 253764702 338352936 380647053 451137248 507529404 676705872 761294106 902274496 1015058808 1353411744 1522588212 1804548992 2030117616 2706823488 3045176424 4060235232 5413646976 6090352848 8120470464 12180705696 16240940928 24361411392 48722822784