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980068918752 = 253271164168947
BaseRepresentation
bin11100100001100001010…
…10001110010111100000
310110200201200120120222200
432100300222032113200
5112024140120400002
62030123142133200
7130544010233310
oct16206052162740
93420650516880
10980068918752
11348710399620
12139b3b121200
137155cc71541
1435615381440
151a761ab0b1c
hexe430a8e5e0

980068918752 has 288 divisors, whose sum is σ = 3480261168384. Its totient is φ = 254162534400.

The previous prime is 980068918709. The next prime is 980068918757. The reversal of 980068918752 is 257819860089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 980068918752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980068918757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14180343 + ... + 14249289.

It is an arithmetic number, because the mean of its divisors is an integer number (12084240168).

Almost surely, 2980068918752 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 980068918752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740130584192).

980068918752 is an abundant number, since it is smaller than the sum of its proper divisors (2500192249632).

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

980068918752 is a wasteful number, since it uses less digits than its factorization.

980068918752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69622 (or 69611 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 980068918752 in words is "nine hundred eighty billion, sixty-eight million, nine hundred eighteen thousand, seven hundred fifty-two".