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1019281910192 = 247136317110821
BaseRepresentation
bin11101101010100011110…
…11111010100110110000
310121102221111201221200222
432311101323322212300
5113144442132111232
62100130204432212
7133432520166440
oct16652173724660
93542844657628
101019281910192
1136330307a467
12145663548668
137516bc6c260
1437495206120
151b7a9439d12
hexed51efa9b0

1019281910192 has 80 divisors (see below), whose sum is σ = 2431002030912. Its totient is φ = 403164933120.

The previous prime is 1019281910183. The next prime is 1019281910197. The reversal of 1019281910192 is 2910191829101.

It is a happy number.

It is a super-2 number, since 2×10192819101922 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1019281910197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9142142 + ... + 9252962.

Almost surely, 21019281910192 is an apocalyptic number.

It is an amenable number.

1019281910192 is an abundant number, since it is smaller than the sum of its proper divisors (1411720120720).

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

1019281910192 is a wasteful number, since it uses less digits than its factorization.

1019281910192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117166 (or 117160 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 44.

The spelling of 1019281910192 in words is "one trillion, nineteen billion, two hundred eighty-one million, nine hundred ten thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 6317 12634 25268 44219 50536 82121 88438 101072 110821 164242 176876 221642 328484 353752 443284 574847 656968 707504 775747 886568 1149694 1313936 1440673 1551494 1773136 2299388 2881346 3102988 4598776 5762692 6205976 9197552 10084711 11525384 12411952 20169422 23050768 40338844 80677688 161355376 700056257 1400112514 2800225028 4900393799 5600450056 9100731341 9800787598 11200900112 18201462682 19601575196 36402925364 39203150392 63705119387 72805850728 78406300784 127410238774 145611701456 254820477548 509640955096 1019281910192