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15322410404020 = 22517541599139067
BaseRepresentation
bin1101111011111000011011…
…0101000100100010110100
32000020210211010101212221101
43132332012311010202310
54002020244030412040
652331003531255444
73141002420334016
oct336760665044264
960223733355841
1015322410404020
11497821a245035
1218757042aa584
13871b87c15385
143ad8740aa1b6
151b88874bd09a
hexdef86d448b4

15322410404020 has 96 divisors (see below), whose sum is σ = 34190034681600. Its totient is φ = 5748120668160.

The previous prime is 15322410404011. The next prime is 15322410404039. The reversal of 15322410404020 is 2040401422351.

It is a self number, because there is not a number n which added to its sum of digits gives 15322410404020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110110527 + ... + 110249593.

It is an arithmetic number, because the mean of its divisors is an integer number (356146194600).

Almost surely, 215322410404020 is an apocalyptic number.

15322410404020 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 15322410404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095017340800).

15322410404020 is an abundant number, since it is smaller than the sum of its proper divisors (18867624277580).

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

15322410404020 is a wasteful number, since it uses less digits than its factorization.

15322410404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140233 (or 140231 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 15322410404020 its reverse (2040401422351), we get a palindrome (17362811826371).

The spelling of 15322410404020 in words is "fifteen trillion, three hundred twenty-two billion, four hundred ten million, four hundred four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 541 599 1082 1198 2164 2396 2705 2995 5410 5990 9197 10183 10820 11980 18394 20366 36788 40732 45985 50915 91970 101830 139067 183940 203660 278134 324059 556268 648118 695335 1296236 1390670 1620295 2364139 2781340 3240590 4728278 5509003 6481180 9456556 11018006 11820695 22036012 23641390 27545015 47282780 55090030 75235247 83301133 110180060 150470494 166602266 300940988 333204532 376176235 416505665 752352470 833011330 1278999199 1416119261 1504704940 1666022660 2557998398 2832238522 5115996796 5664477044 6394995995 7080596305 12789991990 14161192610 25579983980 28322385220 45065912953 90131825906 180263651812 225329564765 450659129530 766120520201 901318259060 1532241040402 3064482080804 3830602601005 7661205202010 15322410404020