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47152730880 = 28355151597
BaseRepresentation
bin101011111010100001…
…011001001100000000
311111201011011220200000
4223322201121030000
51233032044342010
633354530400000
73256326412413
oct537241311400
9144634156600
1047152730880
1118aa753a682
12917b430000
1345a5c023b8
1423d4523b7a
15135e91e7c0
hexafa859300

47152730880 has 216 divisors, whose sum is σ = 169187006352. Its totient is φ = 12573978624.

The previous prime is 47152730857. The next prime is 47152730899. The reversal of 47152730880 is 8803725174.

47152730880 is a `hidden beast` number, since 47 + 1 + 527 + 3 + 0 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235242 + ... + 386838.

Almost surely, 247152730880 is an apocalyptic number.

47152730880 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 47152730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84593503176).

47152730880 is an abundant number, since it is smaller than the sum of its proper divisors (122034275472).

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

47152730880 is an equidigital number, since it uses as much as digits as its factorization.

47152730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151633 (or 151607 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 47152730880 in words is "forty-seven billion, one hundred fifty-two million, seven hundred thirty thousand, eight hundred eighty".