Search a number
-
+
47545756440 = 23357213661941
BaseRepresentation
bin101100010001111100…
…101010101100011000
311112201112201200101020
4230101330222230120
51234333203201230
633501530322440
73302141155500
oct542174525430
9145645650336
1047545756440
1119189381596
12926ab89420
1346394712c0
1424307d0a00
1513841a6810
hexb11f2ab18

47545756440 has 384 divisors, whose sum is σ = 179148957120. Its totient is φ = 10005811200.

The previous prime is 47545756439. The next prime is 47545756457. The reversal of 47545756440 is 4465754574.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50526370 + ... + 50527310.

Almost surely, 247545756440 is an apocalyptic number.

47545756440 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 47545756440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89574478560).

47545756440 is an abundant number, since it is smaller than the sum of its proper divisors (131603200680).

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

47545756440 is a wasteful number, since it uses less digits than its factorization.

47545756440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 51.

The spelling of 47545756440 in words is "forty-seven billion, five hundred forty-five million, seven hundred fifty-six thousand, four hundred forty".