Search a number
-
+
8704672704 = 2632713712339
BaseRepresentation
bin10000001101101011…
…01100001111000000
3211110122101012010100
420012311230033000
5120311344011304
63555431202400
7425465332350
oct100665541700
924418335110
108704672704
113767619492
12182b216400
13a8952a310
145c80dab60
1535e2e2439
hex206d6c3c0

8704672704 has 336 divisors, whose sum is σ = 31153973760. Its totient is φ = 2262435840.

The previous prime is 8704672699. The next prime is 8704672727. The reversal of 8704672704 is 4072764078.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 8704672704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3720367 + ... + 3722705.

It is an arithmetic number, because the mean of its divisors is an integer number (92720160).

Almost surely, 28704672704 is an apocalyptic number.

8704672704 is a gapful number since it is divisible by the number (84) 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 8704672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576986880).

8704672704 is an abundant number, since it is smaller than the sum of its proper divisors (22449301056).

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

8704672704 is a wasteful number, since it uses less digits than its factorization.

8704672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 8704672704 is about 93298.8354911250. The cubic root of 8704672704 is about 2057.0782647708.

The spelling of 8704672704 in words is "eight billion, seven hundred four million, six hundred seventy-two thousand, seven hundred four".