Search a number
-
+
998426000912 = 243110933155793
BaseRepresentation
bin11101000011101101101…
…00111011111000010000
310112110010000122222122112
432201312310323320100
5112324234024012122
62042400502124452
7132063632660264
oct16416664737020
93473100588575
10998426000912
113554804a30aa
12141602a20728
13731c7167732
14364773a00a4
151ae884a12e2
hexe876d3be10

998426000912 has 80 divisors (see below), whose sum is σ = 2021296104960. Its totient is φ = 477222451200.

The previous prime is 998426000909. The next prime is 998426000917. The reversal of 998426000912 is 219000624899.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (998426000917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17867288 + ... + 17923080.

It is an arithmetic number, because the mean of its divisors is an integer number (25266201312).

Almost surely, 2998426000912 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 998426000912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010648052480).

998426000912 is an abundant number, since it is smaller than the sum of its proper divisors (1022870104048).

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

998426000912 is a wasteful number, since it uses less digits than its factorization.

998426000912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56272 (or 56266 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 50.

The spelling of 998426000912 in words is "nine hundred ninety-eight billion, four hundred twenty-six million, nine hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 16 31 62 109 124 218 248 331 436 496 662 872 1324 1744 2648 3379 5296 6758 10261 13516 20522 27032 36079 41044 54064 55793 72158 82088 111586 144316 164176 223172 288632 446344 577264 892688 1118449 1729583 2236898 3459166 4473796 6081437 6918332 8947592 12162874 13836664 17895184 18467483 24325748 27673328 36934966 48651496 73869932 97302992 147739864 188524547 295479728 377049094 572491973 754098188 1144983946 1508196376 2012955647 2289967892 3016392752 4025911294 4579935784 8051822588 9159871568 16103645176 32207290352 62401625057 124803250114 249606500228 499213000456 998426000912