Search a number
-
+
8105904198 = 23371710711789
BaseRepresentation
bin1111000110010011…
…00100100001000110
3202220220200121011000
413203021210201012
5113100102413243
63420201354130
7404605022520
oct74311444106
922826617130
108105904198
11348a631887
1216a2798946
139c2473122
1456c794a10
153269695d3
hex1e3264846

8105904198 has 128 divisors (see below), whose sum is σ = 22002969600. Its totient is φ = 2159184384.

The previous prime is 8105904151. The next prime is 8105904223. The reversal of 8105904198 is 8914095018.

8105904198 is a `hidden beast` number, since 8 + 10 + 590 + 41 + 9 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 681688 + ... + 693476.

It is an arithmetic number, because the mean of its divisors is an integer number (171898200).

Almost surely, 28105904198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8105904198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11001484800).

8105904198 is an abundant number, since it is smaller than the sum of its proper divisors (13897065402).

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

8105904198 is a wasteful number, since it uses less digits than its factorization.

8105904198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11931 (or 11925 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 8105904198 is about 90032.7951248877. The cubic root of 8105904198 is about 2008.7866903377.

The spelling of 8105904198 in words is "eight billion, one hundred five million, nine hundred four thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 107 119 126 153 189 214 238 306 321 357 378 459 642 714 749 918 963 1071 1498 1819 1926 2142 2247 2889 3213 3638 4494 5457 5778 6426 6741 10914 11789 12733 13482 16371 20223 23578 25466 32742 35367 38199 40446 49113 70734 76398 82523 98226 106101 114597 165046 200413 212202 229194 247569 318303 343791 400826 495138 601239 636606 687582 742707 1202478 1261423 1402891 1485414 1803717 2228121 2522846 2805782 3607434 3784269 4208673 4456242 5411151 7568538 8417346 8829961 10822302 11352807 12626019 17659922 21444191 22705614 25252038 26489883 34058421 37878057 42888382 52979766 64332573 68116842 75756114 79469649 128665146 150109337 158939298 192997719 238408947 300218674 385995438 450328011 476817894 578993157 900656022 1157986314 1350984033 2701968066 4052952099 8105904198