Search a number
-
+
1196006891641 = 192575592
BaseRepresentation
bin10001011001110111100…
…100001110000001111001
311020100002202222012002021
4101121313210032001321
5124043410231013031
62313234334234441
7152260110561502
oct21316744160171
94210082865067
101196006891641
1142125078a741
12173964355a21
1388a2423a0b3
1441c5c089ba9
152119e377511
hex1167790e079

1196006891641 has 9 divisors (see below), whose sum is σ = 1262289591621. Its totient is φ = 1133039475324.

The previous prime is 1196006891567. The next prime is 1196006891657. The reversal of 1196006891641 is 1461986006911.

The square root of 1196006891641 is 1093621.

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

It is not a de Polignac number, because 1196006891641 - 211 = 1196006889593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1196006891041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20750020 + ... + 20807578.

It is an arithmetic number, because the mean of its divisors is an integer number (140254399069).

Almost surely, 21196006891641 is an apocalyptic number.

1196006891641 is the 1093621-st square number.

1196006891641 is the 546811-st centered octagonal number.

It is an amenable number.

1196006891641 is a deficient number, since it is larger than the sum of its proper divisors (66282699980).

1196006891641 is an frugal number, since it uses more digits than its factorization.

1196006891641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115156 (or 57578 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 52.

The spelling of 1196006891641 in words is "one trillion, one hundred ninety-six billion, six million, eight hundred ninety-one thousand, six hundred forty-one".

Divisors: 1 19 361 57559 1093621 20778799 3313038481 62947731139 1196006891641