Search a number
-
+
980094357216 = 2531013172347
BaseRepresentation
bin11100100001100100010…
…11010000111011100000
310110200210110110000000000
432100302023100323200
5112024213123412331
62030125451300000
7130544436403032
oct16206213207340
93420713400000
10980094357216
11348723793947
12139b4774a600
137156530a1a0
14356188c3c52
151a763e380e6
hexe4322d0ee0

980094357216 has 528 divisors, whose sum is σ = 3301722257904. Its totient is φ = 283707297792.

The previous prime is 980094357191. The next prime is 980094357293. The reversal of 980094357216 is 612753490089.

It is a super-2 number, since 2×9800943572162 (a number of 25 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 417593355 + ... + 417595701.

It is a 1-persistent number, because it is pandigital, but 2⋅980094357216 = 1960188714432 is not.

Almost surely, 2980094357216 is an apocalyptic number.

980094357216 is a gapful number since it is divisible by the number (96) 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 980094357216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650861128952).

980094357216 is an abundant number, since it is smaller than the sum of its proper divisors (2321627900688).

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

980094357216 is a wasteful number, since it uses less digits than its factorization.

980094357216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 980094357216 in words is "nine hundred eighty billion, ninety-four million, three hundred fifty-seven thousand, two hundred sixteen".