Search a number
-
+
2415464868006 = 2354970092321
BaseRepresentation
bin100011001001100100111…
…011001110100010100110
322112220201220021220200000
4203021210323032202212
5304033333001234011
65045352123002130
7336340320420561
oct43114473164246
98486656256600
102415464868006
11851435a46433
12330172369346
13146a14b22988
1484ca28c54d8
1542c72414356
hex23264ece8a6

2415464868006 has 24 divisors (see below), whose sum is σ = 5427340815624. Its totient is φ = 805154955840.

The previous prime is 2415464868001. The next prime is 2415464868007. The reversal of 2415464868006 is 6008684645142.

2415464868006 is a `hidden beast` number, since 2 + 4 + 154 + 6 + 486 + 8 + 0 + 0 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415464868001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2485045675 + ... + 2485046646.

It is an arithmetic number, because the mean of its divisors is an integer number (226139200651).

Almost surely, 22415464868006 is an apocalyptic number.

2415464868006 is an abundant number, since it is smaller than the sum of its proper divisors (3011875947618).

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

2415464868006 is an equidigital number, since it uses as much as digits as its factorization.

2415464868006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970092338 (or 4970092326 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 2415464868006 in words is "two trillion, four hundred fifteen billion, four hundred sixty-four million, eight hundred sixty-eight thousand, six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 4970092321 9940184642 14910276963 29820553926 44730830889 89461661778 134192492667 268384985334 402577478001 805154956002 1207732434003 2415464868006