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10004402412420 = 22351312826156939
BaseRepresentation
bin1001000110010101010011…
…0110100001101110000100
31022102102010000010222100020
42101211110312201232010
52302403004004144140
633135543052015140
72051536263261033
oct221452466415604
938372100128306
1010004402412420
113207930390699
121156b061614b0
135775462545a0
14268303ab471a
151253866a66d0
hex91954da1b84

10004402412420 has 48 divisors (see below), whose sum is σ = 30167121122880. Its totient is φ = 2462622132096.

The previous prime is 10004402412419. The next prime is 10004402412421. The reversal of 10004402412420 is 2421420440001.

It is an interprime number because it is at equal distance from previous prime (10004402412419) and next prime (10004402412421).

It is not an unprimeable number, because it can be changed into a prime (10004402412421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6413077690 + ... + 6413079249.

It is an arithmetic number, because the mean of its divisors is an integer number (628481690060).

Almost surely, 210004402412420 is an apocalyptic number.

10004402412420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004402412420 is an abundant number, since it is smaller than the sum of its proper divisors (20162718710460).

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

10004402412420 is a wasteful number, since it uses less digits than its factorization.

10004402412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12826156964 (or 12826156962 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10004402412420 its reverse (2421420440001), we get a palindrome (12425822852421).

The spelling of 10004402412420 in words is "ten trillion, four billion, four hundred two million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 12826156939 25652313878 38478470817 51304627756 64130784695 76956941634 128261569390 153913883268 166740040207 192392354085 256523138780 333480080414 384784708170 500220120621 666960160828 769569416340 833700201035 1000440241242 1667400402070 2000880482484 2501100603105 3334800804140 5002201206210 10004402412420