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19270334808 = 2334613731307
BaseRepresentation
bin10001111100100110…
…011111100101011000
31211201222112102210000
4101330212133211120
5303431201203213
612504102053000
71251352100064
oct217446374530
954658472700
1019270334808
11819966883a
12389971a160
131a8147ca9a
14d0b428aa4
1577bb88c73
hex47c99f958

19270334808 has 160 divisors (see below), whose sum is σ = 55048775760. Its totient is φ = 6296382720.

The previous prime is 19270334807. The next prime is 19270334813. The reversal of 19270334808 is 80843307291.

It is a super-2 number, since 2×192703348082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19270334807) 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 39 ways as a sum of consecutive naturals, for example, 14743291 + ... + 14744597.

Almost surely, 219270334808 is an apocalyptic number.

19270334808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19270334808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27524387880).

19270334808 is an abundant number, since it is smaller than the sum of its proper divisors (35778440952).

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

19270334808 is a wasteful number, since it uses less digits than its factorization.

19270334808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 19270334808 in words is "nineteen billion, two hundred seventy million, three hundred thirty-four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 244 324 366 373 488 549 648 732 746 1098 1119 1307 1464 1492 1647 2196 2238 2614 2984 3294 3357 3921 4392 4476 4941 5228 6588 6714 7842 8952 9882 10071 10456 11763 13176 13428 15684 19764 20142 22753 23526 26856 30213 31368 35289 39528 40284 45506 47052 60426 68259 70578 79727 80568 91012 94104 105867 120852 136518 141156 159454 182024 204777 211734 239181 241704 273036 282312 318908 409554 423468 478362 487511 546072 614331 637816 717543 819108 846936 956724 975022 1228662 1435086 1462533 1638216 1842993 1913448 1950044 2152629 2457324 2870172 2925066 3685986 3900088 4305258 4387599 4914648 5740344 5850132 6457887 7371972 8610516 8775198 11700264 12915774 13162797 14743944 17221032 17550396 25831548 26325594 29738171 35100792 39488391 51663096 52651188 59476342 78976782 89214513 105302376 118952684 157953564 178429026 237905368 267643539 315907128 356858052 535287078 713716104 802930617 1070574156 1605861234 2141148312 2408791851 3211722468 4817583702 6423444936 9635167404 19270334808