Search a number
-
+
61411651203060 = 22325341175840017
BaseRepresentation
bin11011111011010100000111…
…01001111010111111110100
322001102220012120011202100100
431331222003221322333310
531022132030201444220
6334340042330514100
715635562652245504
oct1575520351727764
9261386176152310
1061411651203060
1118627598118734
126a79ba5895930
13283612b295452
1411244a84c7a04
157176d0a35d90
hex37da83a7aff4

61411651203060 has 36 divisors (see below), whose sum is σ = 186282008649828. Its totient is φ = 16376440320768.

The previous prime is 61411651203053. The next prime is 61411651203061. The reversal of 61411651203060 is 6030215611416.

61411651203060 is a `hidden beast` number, since 6 + 1 + 41 + 16 + 512 + 0 + 30 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48238192218384 + 13173458984676 = 6945372^2 + 3629526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61411651203061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170587919829 + ... + 170587920188.

It is an arithmetic number, because the mean of its divisors is an integer number (5174500240273).

Almost surely, 261411651203060 is an apocalyptic number.

61411651203060 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61411651203060 is an abundant number, since it is smaller than the sum of its proper divisors (124870357446768).

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

61411651203060 is a wasteful number, since it uses less digits than its factorization.

61411651203060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341175840032 (or 341175840027 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 61411651203060 its reverse (6030215611416), we get a palindrome (67441866814476).

The spelling of 61411651203060 in words is "sixty-one trillion, four hundred eleven billion, six hundred fifty-one million, two hundred three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 341175840017 682351680034 1023527520051 1364703360068 1705879200085 2047055040102 3070582560153 3411758400170 4094110080204 5117637600255 6141165120306 6823516800340 10235275200510 12282330240612 15352912800765 20470550401020 30705825601530 61411651203060