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48632057680 = 2451733513877
BaseRepresentation
bin101101010010101100…
…100100111101010000
311122112020210111112111
4231102230210331100
51244044301321210
634201413435104
73341101445503
oct552254447520
9148466714474
1048632057680
111969658a808
12951293ba94
1347805369bb
1424d4ba513a
1513e973388a
hexb52b24f50

48632057680 has 40 divisors (see below), whose sum is σ = 113723147592. Its totient is φ = 19340373504.

The previous prime is 48632057623. The next prime is 48632057717. The reversal of 48632057680 is 8675023684.

It can be written as a sum of positive squares in 4 ways, for example, as 12753636624 + 35878421056 = 112932^2 + 189416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 1743099 + ... + 1770778.

Almost surely, 248632057680 is an apocalyptic number.

48632057680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48632057680 is an abundant number, since it is smaller than the sum of its proper divisors (65091089912).

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

48632057680 is a wasteful number, since it uses less digits than its factorization.

48632057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514063 (or 3514057 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

The spelling of 48632057680 in words is "forty-eight billion, six hundred thirty-two million, fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 173 346 692 865 1384 1730 2768 3460 6920 13840 3513877 7027754 14055508 17569385 28111016 35138770 56222032 70277540 140555080 281110160 607900721 1215801442 2431602884 3039503605 4863205768 6079007210 9726411536 12158014420 24316028840 48632057680