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48716332704 = 25321313011841
BaseRepresentation
bin101101010111101110…
…000011111010100000
311122202010101010010200
4231113232003322200
51244232340121304
634214024025200
73343143665334
oct552756037240
9148663333120
1048716332704
111972a110896
129537002200
134794b32b90
1425020617c4
151401d2de39
hexb57b83ea0

48716332704 has 72 divisors (see below), whose sum is σ = 149193780372. Its totient is φ = 14989639680.

The previous prime is 48716332673. The next prime is 48716332759. The reversal of 48716332704 is 40723361784.

48716332704 is a `hidden beast` number, since 4 + 8 + 7 + 1 + 633 + 2 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34244242704 + 14472090000 = 185052^2 + 120300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 48716332704.

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 11 ways as a sum of consecutive naturals, for example, 6502177 + ... + 6509664.

Almost surely, 248716332704 is an apocalyptic number.

It is an amenable number.

48716332704 is an abundant number, since it is smaller than the sum of its proper divisors (100477447668).

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

48716332704 is a wasteful number, since it uses less digits than its factorization.

48716332704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13011870 (or 13011859 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 48716332704 in words is "forty-eight billion, seven hundred sixteen million, three hundred thirty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 13011841 26023682 39035523 52047364 78071046 104094728 117106569 156142092 169153933 208189456 234213138 312284184 338307866 416378912 468426276 507461799 624568368 676615732 936852552 1014923598 1249136736 1353231464 1522385397 1873705104 2029847196 2706462928 3044770794 3747410208 4059694392 5412925856 6089541588 8119388784 12179083176 16238777568 24358166352 48716332704