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19090166992 = 2413210096997
BaseRepresentation
bin10001110001110111…
…001101010011010000
31211021102111221222221
4101301313031103100
5303044040320432
612434144310424
71244033512351
oct216167152320
954242457887
1019090166992
1181069a1016
123849312414
131a5304a700
14cd1529d28
1576ae4ab97
hex471dcd4d0

19090166992 has 60 divisors (see below), whose sum is σ = 40096650540. Its totient is φ = 8800856064.

The previous prime is 19090166987. The next prime is 19090167013. The reversal of 19090166992 is 29966109091.

It can be written as a sum of positive squares in 6 ways, for example, as 5769313936 + 13320853056 = 75956^2 + 115416^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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 11 ways as a sum of consecutive naturals, for example, 2724838 + ... + 2731834.

It is an arithmetic number, because the mean of its divisors is an integer number (668277509).

Almost surely, 219090166992 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 19090166992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048325270).

19090166992 is an abundant number, since it is smaller than the sum of its proper divisors (21006483548).

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

19090166992 is a wasteful number, since it uses less digits than its factorization.

19090166992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8040 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 52.

The spelling of 19090166992 in words is "nineteen billion, ninety million, one hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1009 1352 2018 2704 4036 6997 8072 13117 13994 16144 26234 27988 52468 55976 90961 104936 111952 170521 181922 209872 341042 363844 682084 727688 1182493 1364168 1455376 2364986 2728336 4729972 7059973 9459944 14119946 18919888 28239892 56479784 91779649 112959568 183559298 367118596 734237192 1193135437 1468474384 2386270874 4772541748 9545083496 19090166992