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164190075714 = 232710116379153
BaseRepresentation
bin1001100011101001111…
…1011011101101000010
3120200210200121001022100
42120322133123231002
510142230124410324
6203232231051230
714601532421250
oct2307237335502
9520720531270
10164190075714
11636a6021055
12279a2b10b16
131263837c372
147d381c55d0
15440e75b4c9
hex263a7dbb42

164190075714 has 96 divisors (see below), whose sum is σ = 413115490944. Its totient is φ = 46161446400.

The previous prime is 164190075683. The next prime is 164190075737. The reversal of 164190075714 is 417570091461.

164190075714 is a `hidden beast` number, since 1 + 64 + 19 + 0 + 0 + 7 + 571 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164190075714.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2034762 + ... + 2113914.

It is an arithmetic number, because the mean of its divisors is an integer number (4303286364).

Almost surely, 2164190075714 is an apocalyptic number.

164190075714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164190075714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206557745472).

164190075714 is an abundant number, since it is smaller than the sum of its proper divisors (248925415230).

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

164190075714 is a wasteful number, since it uses less digits than its factorization.

164190075714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79432 (or 79429 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 164190075714 in words is "one hundred sixty-four billion, one hundred ninety million, seventy-five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 163 202 303 326 489 606 707 909 978 1141 1414 1467 1818 2121 2282 2934 3423 4242 6363 6846 10269 12726 16463 20538 32926 49389 79153 98778 115241 148167 158306 230482 237459 296334 345723 474918 554071 691446 712377 1037169 1108142 1424754 1662213 2074338 3324426 4986639 7994453 9973278 12901939 15988906 23983359 25803878 38705817 47966718 55961171 71950077 77411634 90313573 111922342 116117451 143900154 167883513 180627146 232234902 270940719 335767026 503650539 541881438 812822157 1007301078 1303095839 1625644314 2606191678 3909287517 7818575034 9121670873 11727862551 18243341746 23455725102 27365012619 54730025238 82095037857 164190075714