Search a number
-
+
47162141460 = 22345729612351
BaseRepresentation
bin101011111011000101…
…010010101100010100
311111201210220000120000
4223323011102230110
51233042002011320
633355504211300
73256502405460
oct537305225424
9144653800500
1047162141460
1119001887a15
129182609b30
1345a7b488a5
1423d58934a0
15136067cc90
hexafb152b14

47162141460 has 480 divisors, whose sum is σ = 177858616320. Its totient is φ = 10233216000.

The previous prime is 47162141419. The next prime is 47162141461. The reversal of 47162141460 is 6414126174.

It is a happy number.

47162141460 is a `hidden beast` number, since 47 + 16 + 2 + 141 + 460 = 666.

47162141460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47162141461) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20059285 + ... + 20061635.

It is an arithmetic number, because the mean of its divisors is an integer number (370538784).

Almost surely, 247162141460 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 47162141460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88929308160).

47162141460 is an abundant number, since it is smaller than the sum of its proper divisors (130696474860).

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

47162141460 is a wasteful number, since it uses less digits than its factorization.

47162141460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 47162141460 in words is "forty-seven billion, one hundred sixty-two million, one hundred forty-one thousand, four hundred sixty".