Search a number
-
+
10041563661795 = 325317198253521
BaseRepresentation
bin1001001000011111101111…
…0101011100010111100011
31022112222000211121001001200
42102013323311130113203
52304010110244134140
633205010342332243
72054323210550661
oct222077365342743
938488024531050
1010041563661795
11322166a9a4336
12116215742a083
1357abb915c943
1426a02b251c31
1512630dd4c030
hex921fbd5c5e3

10041563661795 has 24 divisors (see below), whose sum is σ = 17966840790912. Its totient is φ = 5182742534400.

The previous prime is 10041563661791. The next prime is 10041563661809. The reversal of 10041563661795 is 59716636514001.

10041563661795 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 563 + 6 + 6 + 1 + 79 + 5 = 666.

It is not a de Polignac number, because 10041563661795 - 22 = 10041563661791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10041563661791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3599125366 + ... + 3599128155.

It is an arithmetic number, because the mean of its divisors is an integer number (748618366288).

Almost surely, 210041563661795 is an apocalyptic number.

10041563661795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10041563661795 is a deficient number, since it is larger than the sum of its proper divisors (7925277129117).

10041563661795 is a wasteful number, since it uses less digits than its factorization.

10041563661795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198253563 (or 7198253560 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 10041563661795 in words is "ten trillion, forty-one billion, five hundred sixty-three million, six hundred sixty-one thousand, seven hundred ninety-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 7198253521 21594760563 35991267605 64784281689 107973802815 223145859151 323921408445 669437577453 1115729295755 2008312732359 3347187887265 10041563661795