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9242899980 = 22351912763841
BaseRepresentation
bin10001001101110101…
…10111011000001100
3212212011010222010220
420212322313120030
5122412140244410
64125055231340
7445022232156
oct104672673014
925764128126
109242899980
113a13415616
12195b518550
13b43ba80b2
146397a3ad6
153916ac070
hex226eb760c

9242899980 has 96 divisors (see below), whose sum is σ = 27457167360. Its totient is φ = 2316625920.

The previous prime is 9242899973. The next prime is 9242899993. The reversal of 9242899980 is 899982429.

9242899980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 112860 + ... + 176700.

It is an arithmetic number, because the mean of its divisors is an integer number (286012160).

Almost surely, 29242899980 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 9242899980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728583680).

9242899980 is an abundant number, since it is smaller than the sum of its proper divisors (18214267380).

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

9242899980 is a wasteful number, since it uses less digits than its factorization.

9242899980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63999 (or 63997 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The square root of 9242899980 is about 96140.0019762846. The cubic root of 9242899980 is about 2098.6310034324.

The spelling of 9242899980 in words is "nine billion, two hundred forty-two million, eight hundred ninety-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 380 381 508 570 635 762 1140 1270 1524 1905 2413 2540 3810 4826 7239 7620 9652 12065 14478 24130 28956 36195 48260 63841 72390 127682 144780 191523 255364 319205 383046 638410 766092 957615 1212979 1276820 1915230 2425958 3638937 3830460 4851916 6064895 7277874 8107807 12129790 14555748 16215614 18194685 24259580 24323421 32431228 36389370 40539035 48646842 72778740 81078070 97293684 121617105 154048333 162156140 243234210 308096666 462144999 486468420 616193332 770241665 924289998 1540483330 1848579996 2310724995 3080966660 4621449990 9242899980