Search a number
-
+
47429394432 = 213372311987
BaseRepresentation
bin101100001011000000…
…110010000000000000
311112102102202212201020
4230023000302000000
51234113411110212
633442212305440
73266226125610
oct541300620000
9145372685636
1047429394432
1119129725042
129238012280
13461b31c244
14241d180a40
151378d6dd8c
hexb0b032000

47429394432 has 224 divisors, whose sum is σ = 150834742272. Its totient is φ = 12960989184.

The previous prime is 47429394427. The next prime is 47429394457. The reversal of 47429394432 is 23449392474.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3950743 + ... + 3962729.

Almost surely, 247429394432 is an apocalyptic number.

47429394432 is a gapful number since it is divisible by the number (42) 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 47429394432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75417371136).

47429394432 is an abundant number, since it is smaller than the sum of its proper divisors (103405347840).

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

47429394432 is a wasteful number, since it uses less digits than its factorization.

47429394432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12046 (or 12022 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

The spelling of 47429394432 in words is "forty-seven billion, four hundred twenty-nine million, three hundred ninety-four thousand, four hundred thirty-two".