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47540327040 = 2732547672621
BaseRepresentation
bin101100010001100111…
…111101001010000000
311112201011111211122100
4230101213331022000
51234330310431130
633501214110400
73302044053363
oct542147751200
9145634454570
1047540327040
1119186303388
1292691ab400
1346382bcc3b
14242dbba0da
151383982c60
hexb119fd280

47540327040 has 384 divisors, whose sum is σ = 170222757120. Its totient is φ = 12217835520.

The previous prime is 47540327033. The next prime is 47540327057. The reversal of 47540327040 is 4072304574.

47540327040 is a `hidden beast` number, since 4 + 7 + 540 + 3 + 2 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47540326986 and 47540327004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18136930 + ... + 18139550.

It is an arithmetic number, because the mean of its divisors is an integer number (443288430).

Almost surely, 247540327040 is an apocalyptic number.

47540327040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47540327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85111378560).

47540327040 is an abundant number, since it is smaller than the sum of its proper divisors (122682430080).

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

47540327040 is a wasteful number, since it uses less digits than its factorization.

47540327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 47540327040 in words is "forty-seven billion, five hundred forty million, three hundred twenty-seven thousand, forty".