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47483034009600 = 2213527261101
BaseRepresentation
bin10101100101111100000010…
…11000000000000000000000
320020010100000021121002102110
422302332001120000000000
522210430223201301400
6244553223225015320
713000351563460500
oct1262760130000000
9206110007532373
1047483034009600
1114147494900142
1253aa644024540
1320658280c7787
14ba2296589a00
15575221843e50
hex2b2f81600000

47483034009600 has 1584 divisors, whose sum is σ = 187477089711696. Its totient is φ = 10569646080000.

The previous prime is 47483034009589. The next prime is 47483034009601. The reversal of 47483034009600 is 690043038474.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47483034009600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47483034009601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 470129049550 + ... + 470129049650.

Almost surely, 247483034009600 is an apocalyptic number.

47483034009600 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 47483034009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93738544855848).

47483034009600 is an abundant number, since it is smaller than the sum of its proper divisors (139994055702096).

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

47483034009600 is an frugal number, since it uses more digits than its factorization.

47483034009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 47483034009600 in words is "forty-seven trillion, four hundred eighty-three billion, thirty-four million, nine thousand, six hundred".