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209192996034 = 233111931215939
BaseRepresentation
bin1100001011010011011…
…1111100110011000010
3201222222000112021022000
43002310313330303002
511411411401333114
6240034003524430
721053666061501
oct3026467746302
9658860467260
10209192996034
1180799aa1190
1234662389716
131695aa737b9
14a1a6db4838
155695574e09
hex30b4dfccc2

209192996034 has 128 divisors (see below), whose sum is σ = 534086784000. Its totient is φ = 60026054400.

The previous prime is 209192996027. The next prime is 209192996039. The reversal of 209192996034 is 430699291902.

209192996034 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 9 + 29 + 9 + 603 + 4 = 666.

It is a super-2 number, since 2×2091929960342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (209192996039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35220637 + ... + 35226575.

It is an arithmetic number, because the mean of its divisors is an integer number (4172553000).

Almost surely, 2209192996034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209192996034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267043392000).

209192996034 is an abundant number, since it is smaller than the sum of its proper divisors (324893787966).

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

209192996034 is a wasteful number, since it uses less digits than its factorization.

209192996034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 209192996034 in words is "two hundred nine billion, one hundred ninety-two million, nine hundred ninety-six thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3121 3762 5643 5939 6242 9363 11286 11878 17817 18726 28089 34331 35634 53451 56178 59299 65329 68662 84267 102993 106902 112841 118598 130658 160353 168534 177897 195987 205986 225682 308979 320706 338523 355794 391974 533691 587961 617958 652289 677046 926937 1015569 1067382 1175922 1241251 1304578 1601073 1763883 1853874 1956867 2031138 2482502 3046707 3202146 3527766 3723753 3913734 5870601 6093414 7447506 11171259 11741202 17611803 18535619 22342518 33513777 35223606 37071238 55606857 67027554 111213714 166820571 203891809 333641142 352176761 407783618 500461713 611675427 704353522 1000923426 1056530283 1223350854 1835026281 2113060566 3169590849 3670052562 3873944371 5505078843 6339181698 7747888742 9508772547 11010157686 11621833113 19017545094 23243666226 34865499339 69730998678 104596498017 209192996034