Search a number
-
+
47916520704 = 283513193307
BaseRepresentation
bin101100101000000011…
…000001010100000000
311120200101101110100000
4230220003001110000
51241113112130304
634002413200000
73314262464043
oct545003012400
9146611343300
1047916520704
1119359699238
129353190000
134698217740
142467b44c5a
1513a69e2939
hexb280c1500

47916520704 has 432 divisors, whose sum is σ = 155597554112. Its totient is φ = 14619377664.

The previous prime is 47916520669. The next prime is 47916520709. The reversal of 47916520704 is 40702561974.

47916520704 is a `hidden beast` number, since 47 + 9 + 16 + 520 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 47916520704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47916520709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156079719 + ... + 156080025.

Almost surely, 247916520704 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 47916520704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77798777056).

47916520704 is an abundant number, since it is smaller than the sum of its proper divisors (107681033408).

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

47916520704 is a wasteful number, since it uses less digits than its factorization.

47916520704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 47916520704 in words is "forty-seven billion, nine hundred sixteen million, five hundred twenty thousand, seven hundred four".