Search a number
-
+
2085349717476 = 2232229210512
BaseRepresentation
bin11110010110001000100…
…001110111010111100100
321101100122121101201201100
4132112020201313113210
5233131244011424401
64233555121400100
7303442624063434
oct36261041672744
97340577351640
102085349717476
11734434606883
122981a3499030
13121855b1248c
1472d07d222c4
15393a0e82b86
hex1e5888775e4

2085349717476 has 81 divisors (see below), whose sum is σ = 5299462273833. Its totient is φ = 691422631200.

The previous prime is 2085349717457. The next prime is 2085349717499. The reversal of 2085349717476 is 6747179435802.

The square root of 2085349717476 is 1444074.

It is a perfect power (a square), and thus also a powerful number.

2085349717476 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 3 + 497 + 1 + 74 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1942193427876 + 143156289600 = 1393626^2 + 378360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1984157151 + ... + 1984158201.

It is a 1-persistent number, because it is pandigital, but 2⋅2085349717476 = 4170699434952 is not.

Almost surely, 22085349717476 is an apocalyptic number.

2085349717476 is the 1444074-th square number.

It is an amenable number.

2085349717476 is an abundant number, since it is smaller than the sum of its proper divisors (3214112556357).

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

2085349717476 is an equidigital number, since it uses as much as digits as its factorization.

2085349717476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 2085349717476 in words is "two trillion, eighty-five billion, three hundred forty-nine million, seven hundred seventeen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1051 1374 2061 2102 2748 3153 4122 4204 6306 8244 9459 12612 18918 37836 52441 104882 157323 209764 240679 314646 471969 481358 629292 722037 943938 962716 1104601 1444074 1887876 2166111 2209202 2888148 3313803 4332222 4418404 6627606 8664444 9941409 13255212 19882818 39765636 55115491 110230982 165346473 220461964 252953629 330692946 496039419 505907258 661385892 758860887 992078838 1011814516 1517721774 1984157676 2276582661 3035443548 4553165322 9106330644 57926381041 115852762082 173779143123 231705524164 347558286246 521337429369 695116572492 1042674858738 2085349717476