Search a number
-
+
980086271472 = 2434711171274549
BaseRepresentation
bin11100100001100011011…
…00011010110111110000
310110200202220020012110000
432100301230122313300
5112024204041141342
62030125002110000
7130544310565320
oct16206154326760
93420686205400
10980086271472
1134871a170a10
12139b44aab300
1371563738a19
14356177bb280
151a76338c44c
hexe431b1adf0

980086271472 has 800 divisors, whose sum is σ = 3774958387200. Its totient is φ = 237654466560.

The previous prime is 980086271447. The next prime is 980086271491. The reversal of 980086271472 is 274172680089.

It is a happy number.

980086271472 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 8 + 627 + 1 + 4 + 7 + 2 = 666.

980086271472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 215448654 + ... + 215453202.

It is an arithmetic number, because the mean of its divisors is an integer number (4718697984).

Almost surely, 2980086271472 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 980086271472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887479193600).

980086271472 is an abundant number, since it is smaller than the sum of its proper divisors (2794872115728).

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

980086271472 is a wasteful number, since it uses less digits than its factorization.

980086271472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4731 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 980086271472 in words is "nine hundred eighty billion, eighty-six million, two hundred seventy-one thousand, four hundred seventy-two".