Search a number
-
+
9976891072512 = 21337313181503
BaseRepresentation
bin1001000100101110110100…
…0011000110000000000000
31022022210002200201002211010
42101023231003012000000
52301430133103310022
633115153120320520
72046543442611000
oct221135503060000
938283080632733
109976891072512
1131a71a2a05841
121151708773140
13574a8064b230
14266c53da8000
151247c62b850c
hex912ed0c6000

9976891072512 has 896 divisors, whose sum is σ = 33662268057600. Its totient is φ = 2611528335360.

The previous prime is 9976891072409. The next prime is 9976891072523. The reversal of 9976891072512 is 2152701986799.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19834773253 + ... + 19834773755.

It is an arithmetic number, because the mean of its divisors is an integer number (37569495600).

Almost surely, 29976891072512 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 9976891072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831134028800).

9976891072512 is an abundant number, since it is smaller than the sum of its proper divisors (23685376985088).

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

9976891072512 is a wasteful number, since it uses less digits than its factorization.

9976891072512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 66.

The spelling of 9976891072512 in words is "nine trillion, nine hundred seventy-six billion, eight hundred ninety-one million, seventy-two thousand, five hundred twelve".