Search a number
-
+
47244729376 = 25131719477481
BaseRepresentation
bin101100000000000000…
…010101110000100000
311111221120021220212201
4230000000111300200
51233224122320001
633412014302544
73261524400535
oct540000256040
9144846256781
1047244729376
1119044466499
1291a61b7a54
1345bbca3b90
142402830d8c
151367a43501
hexb00015c20

47244729376 has 192 divisors, whose sum is σ = 114032862720. Its totient is φ = 19026247680.

The previous prime is 47244729373. The next prime is 47244729383. The reversal of 47244729376 is 67392744274.

It is a happy number.

It is a super-2 number, since 2×472447293762 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47244729373) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6311556 + ... + 6319036.

It is an arithmetic number, because the mean of its divisors is an integer number (593921160).

Almost surely, 247244729376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47244729376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57016431360).

47244729376 is an abundant number, since it is smaller than the sum of its proper divisors (66788133344).

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

47244729376 is a wasteful number, since it uses less digits than its factorization.

47244729376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7579 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 55.

The spelling of 47244729376 in words is "forty-seven billion, two hundred forty-four million, seven hundred twenty-nine thousand, three hundred seventy-six".