Search a number
-
+
47334913920 = 273357491797
BaseRepresentation
bin101100000101011000…
…010111011110000000
311112011211222202211000
4230011120113132000
51233420214221140
633424555252000
73264001062330
oct540530273600
9145154882730
1047334913920
1119090363478
12921044a000
13460488bb08
1424107c90c0
151370909a30
hexb05617780

47334913920 has 512 divisors, whose sum is σ = 192224793600. Its totient is φ = 10783825920.

The previous prime is 47334913907. The next prime is 47334913961. The reversal of 47334913920 is 2931943374.

47334913920 is a `hidden beast` number, since 4 + 73 + 3 + 491 + 3 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59390962 + ... + 59391758.

It is an arithmetic number, because the mean of its divisors is an integer number (375439050).

Almost surely, 247334913920 is an apocalyptic number.

47334913920 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 47334913920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96112396800).

47334913920 is an abundant number, since it is smaller than the sum of its proper divisors (144889879680).

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

47334913920 is a wasteful number, since it uses less digits than its factorization.

47334913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 47334913920 in words is "forty-seven billion, three hundred thirty-four million, nine hundred thirteen thousand, nine hundred twenty".