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10194004134 = 23217101499661
BaseRepresentation
bin10010111111001110…
…00010100010100110
3222022102211001202200
421133213002202212
5131334131113014
64403312515330
7510421414446
oct113747024246
928272731680
1010194004134
114361282206
121b85b4bb46
13c65c55612
146c9c24126
153e9e30a09
hex25f9c28a6

10194004134 has 96 divisors (see below), whose sum is σ = 23700924000. Its totient is φ = 3155328000.

The previous prime is 10194004099. The next prime is 10194004159. The reversal of 10194004134 is 43140049101.

10194004134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10194004098 and 10194004107.

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 47 ways as a sum of consecutive naturals, for example, 15421764 + ... + 15422424.

It is an arithmetic number, because the mean of its divisors is an integer number (246884625).

Almost surely, 210194004134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10194004134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850462000).

10194004134 is an abundant number, since it is smaller than the sum of its proper divisors (13506919866).

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

10194004134 is a wasteful number, since it uses less digits than its factorization.

10194004134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10194004134 in words is "ten billion, one hundred ninety-four million, four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 499 606 661 909 998 1322 1497 1717 1818 1983 2994 3434 3966 4491 5151 5949 8483 8982 10302 11237 11898 15453 16966 22474 25449 30906 33711 50399 50898 66761 67422 76347 100798 101133 133522 151197 152694 200283 202266 302394 329839 400566 453591 600849 659678 856783 907182 989517 1134937 1201698 1713566 1979034 2269874 2570349 2968551 3404811 5140698 5607263 5937102 6809622 7711047 10214433 11214526 15422094 16821789 20428866 33313739 33643578 50465367 66627478 99941217 100930734 199882434 299823651 566333563 599647302 1132667126 1699000689 3398001378 5097002067 10194004134