Search a number
-
+
1260100541764 = 22113249672
BaseRepresentation
bin10010010101100011110…
…110000101110101000100
311110110112120110222002201
4102111203312011311010
5131121141214314024
62402514315444244
7160016315610301
oct22254366056504
94413476428081
101260100541764
114464509a5719
12184271156684
1391a99b1815c
1444dbc4b00a8
1522ba119d744
hex12563d85d44

1260100541764 has 27 divisors (see below), whose sum is σ = 2225311496317. Its totient is φ = 624348880064.

The previous prime is 1260100541741. The next prime is 1260100541767. The reversal of 1260100541764 is 4671450010621.

The square root of 1260100541764 is 1122542.

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

It can be written as a sum of positive squares in only one way, i.e., 22203980100 + 1237896561664 = 149010^2 + 1112608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1260100541767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 253692009 + ... + 253696975.

Almost surely, 21260100541764 is an apocalyptic number.

1260100541764 is the 1122542-nd square number.

It is an amenable number.

1260100541764 is a deficient number, since it is larger than the sum of its proper divisors (965210954553).

1260100541764 is an frugal number, since it uses more digits than its factorization.

1260100541764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10164 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 1260100541764 in words is "one trillion, two hundred sixty billion, one hundred million, five hundred forty-one thousand, seven hundred sixty-four".

Divisors: 1 2 4 113 226 452 4967 9934 12769 19868 25538 51076 561271 1122542 2245084 24671089 49342178 63423623 98684356 126847246 253694492 2787833057 5575666114 11151332228 315025135441 630050270882 1260100541764