Search a number
-
+
8400100009999 = 17216187178889
BaseRepresentation
bin111101000111100110011…
…1110100010100000001111
31002202001010102010210210011
41322033030332202200033
52100111401100304444
625510541435454051
71524613210663465
oct172171476424017
932661112123704
108400100009999
11274950a513625
12b37bb45b7327
1348c183b7a6c9
142107d1c36835
15e878c516734
hex7a3ccfa280f

8400100009999 has 8 divisors (see below), whose sum is σ = 8405223341760. Its totient is φ = 8394976963200.

The previous prime is 8400100009997. The next prime is 8400100010021. The reversal of 8400100009999 is 9999000010048.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 8400100009999 - 21 = 8400100009997 is a prime.

It is a super-3 number, since 3×84001000099993 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8400100009997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106440547 + ... + 106519435.

It is an arithmetic number, because the mean of its divisors is an integer number (1050652917720).

Almost surely, 28400100009999 is an apocalyptic number.

8400100009999 is a deficient number, since it is larger than the sum of its proper divisors (5123331761).

8400100009999 is a wasteful number, since it uses less digits than its factorization.

8400100009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142481.

The product of its (nonzero) digits is 209952, while the sum is 49.

Adding to 8400100009999 its sum of digits (49), we get a palindrome (8400100010048).

The spelling of 8400100009999 in words is "eight trillion, four hundred billion, one hundred million, nine thousand, nine hundred ninety-nine".

Divisors: 1 1721 61871 78889 106479991 135767969 4880941319 8400100009999