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47782648640 = 265149320777
BaseRepresentation
bin101100100000000100…
…010101101101000000
311120100001111001101102
4230200010111231000
51240324324224030
633541231553532
73311045545346
oct544004255500
9146301431342
1047782648640
11192a0072171
12931638b8a8
1346765746bc
142454057996
151399d9bc45
hexb20115b40

47782648640 has 28 divisors (see below), whose sum is σ = 113782432836. Its totient is φ = 19113059328.

The previous prime is 47782648583. The next prime is 47782648643. The reversal of 47782648640 is 4684628774.

It can be written as a sum of positive squares in 2 ways, for example, as 36218657344 + 11563991296 = 190312^2 + 107536^2 .

It is a super-2 number, since 2×477826486402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47782648643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74660069 + ... + 74660708.

Almost surely, 247782648640 is an apocalyptic number.

47782648640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47782648640 is an abundant number, since it is smaller than the sum of its proper divisors (65999784196).

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

47782648640 is a wasteful number, since it uses less digits than its factorization.

47782648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149320794 (or 149320784 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 56.

The spelling of 47782648640 in words is "forty-seven billion, seven hundred eighty-two million, six hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 149320777 298641554 597283108 746603885 1194566216 1493207770 2389132432 2986415540 4778264864 5972831080 9556529728 11945662160 23891324320 47782648640