Search a number
-
+
47631738960 = 2434513565429
BaseRepresentation
bin101100010111000100…
…101010100001010000
311112221112112001020000
4230113010222201100
51240022211121320
633514241250000
73304234046421
oct542704524120
9145845461200
1047631738960
1119222969523
129293933900
134651217730
14243bdb3648
15138b9dcc90
hexb1712a850

47631738960 has 200 divisors, whose sum is σ = 178157946120. Its totient is φ = 11724715008.

The previous prime is 47631738943. The next prime is 47631739007. The reversal of 47631738960 is 6983713674.

47631738960 is a `hidden beast` number, since 476 + 31 + 7 + 3 + 89 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6654643776 + 40977095184 = 81576^2 + 202428^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 47631738897 and 47631738906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 198475 + ... + 366954.

Almost surely, 247631738960 is an apocalyptic number.

47631738960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47631738960 is an abundant number, since it is smaller than the sum of its proper divisors (130526207160).

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

47631738960 is a wasteful number, since it uses less digits than its factorization.

47631738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565467 (or 565452 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 47631738960 in words is "forty-seven billion, six hundred thirty-one million, seven hundred thirty-eight thousand, nine hundred sixty".