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10004402402010 = 2325111160026689
BaseRepresentation
bin1001000110010101010011…
…0110011111001011011010
31022102102010000010110001200
42101211110312133023122
52302403004003331020
633135543051455030
72051536263215502
oct221452466371332
938372100113050
1010004402402010
113207930383895
121156b06157476
1357754624c923
14268303ab0a02
151253866a3590
hex91954d9f2da

10004402402010 has 24 divisors (see below), whose sum is σ = 26011446245460. Its totient is φ = 2667840640512.

The previous prime is 10004402401943. The next prime is 10004402402081. The reversal of 10004402402010 is 1020420440001.

10004402402010 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 440 + 24 + 0 + 201 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8290547007561 + 1713855394449 = 2879331^2 + 1309143^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 55580013255 + ... + 55580013434.

Almost surely, 210004402402010 is an apocalyptic number.

10004402402010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10004402402010 is an abundant number, since it is smaller than the sum of its proper divisors (16007043843450).

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

10004402402010 is a wasteful number, since it uses less digits than its factorization.

10004402402010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111160026702 (or 111160026699 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10004402402010 its reverse (1020420440001), we get a palindrome (11024822842011).

The spelling of 10004402402010 in words is "ten trillion, four billion, four hundred two million, four hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 111160026689 222320053378 333480080067 555800133445 666960160134 1000440240201 1111600266890 1667400400335 2000880480402 3334800800670 5002201201005 10004402402010