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146126600889 = 319311036731193
BaseRepresentation
bin1000100000010111010…
…0101111101010111001
3111222011210222110012020
42020011310233222321
54343231402212024
6151044000105053
713362103420323
oct2100564575271
9458153873166
10146126600889
1156a76725065
12243a1605189
1310a19c56319
147103194613
153c03a15979
hex2205d2fab9

146126600889 has 64 divisors (see below), whose sum is σ = 214258237440. Its totient is φ = 88240803840.

The previous prime is 146126600887. The next prime is 146126600899. The reversal of 146126600889 is 988006621641.

146126600889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146126600889 - 21 = 146126600887 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (146126600887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122486077 + ... + 122487269.

It is an arithmetic number, because the mean of its divisors is an integer number (3347784960).

Almost surely, 2146126600889 is an apocalyptic number.

146126600889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

146126600889 is a deficient number, since it is larger than the sum of its proper divisors (68131636551).

146126600889 is a wasteful number, since it uses less digits than its factorization.

146126600889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022.

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 146126600889 in words is "one hundred forty-six billion, one hundred twenty-six million, six hundred thousand, eight hundred eighty-nine".

Divisors: 1 3 19 31 57 93 103 309 589 673 1193 1767 1957 2019 3193 3579 5871 9579 12787 20863 22667 36983 38361 60667 62589 68001 69319 110949 122879 182001 207957 368637 396397 702677 802889 1189191 1317061 2108031 2148889 2334701 2408667 3809249 3951183 6446667 7004103 11427747 15254891 24889559 40828891 45764673 72375731 74668677 82697567 122486673 217127193 248092701 472901621 1418704863 1571253773 2563624577 4713761319 7690873731 48708866963 146126600889