Search a number
-
+
16564186020 = 223510317315493
BaseRepresentation
bin11110110110100110…
…10110101110100100
31120202101102211112010
433123103112232210
5232410412423040
611335351554220
71124322154344
oct173323265644
946671384463
1016564186020
117030062138
12326338b970
13173c922705
14b31c74d24
1566e2dbe80
hex3db4d6ba4

16564186020 has 96 divisors (see below), whose sum is σ = 47103743232. Its totient is φ = 4348666368.

The previous prime is 16564185973. The next prime is 16564186027. The reversal of 16564186020 is 2068146561.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16564186020.

It is not an unprimeable number, because it can be changed into a prime (16564186027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1061394 + ... + 1076886.

It is an arithmetic number, because the mean of its divisors is an integer number (490663992).

Almost surely, 216564186020 is an apocalyptic number.

16564186020 is a gapful number since it is divisible by the number (10) 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 16564186020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23551871616).

16564186020 is an abundant number, since it is smaller than the sum of its proper divisors (30539557212).

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

16564186020 is a wasteful number, since it uses less digits than its factorization.

16564186020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15781 (or 15779 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 16564186020 in words is "sixteen billion, five hundred sixty-four million, one hundred eighty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 173 206 309 346 412 515 519 618 692 865 1030 1038 1236 1545 1730 2060 2076 2595 3090 3460 5190 6180 10380 15493 17819 30986 35638 46479 53457 61972 71276 77465 89095 92958 106914 154930 178190 185916 213828 232395 267285 309860 356380 464790 534570 929580 1069140 1595779 2680289 3191558 4787337 5360578 6383116 7978895 8040867 9574674 10721156 13401445 15957790 16081734 19149348 23936685 26802890 31915580 32163468 40204335 47873370 53605780 80408670 95746740 160817340 276069767 552139534 828209301 1104279068 1380348835 1656418602 2760697670 3312837204 4141046505 5521395340 8282093010 16564186020