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20006438130 = 2335710585417
BaseRepresentation
bin10010101000011110…
…100000010011110010
31220122021122100201000
4102220132200103302
5311433122010010
613105115222430
71305530626650
oct225036402362
956567570630
1020006438130
118537127098
123a64147a16
131b6ab20193
14d7b0bddd0
157c15dd7c0
hex4a87a04f2

20006438130 has 64 divisors (see below), whose sum is σ = 60972007680. Its totient is φ = 4572899712.

The previous prime is 20006438077. The next prime is 20006438147. The reversal of 20006438130 is 3183460002.

It is a happy number.

20006438130 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 643 + 8 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20006438094 and 20006438103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5290819 + ... + 5294598.

It is an arithmetic number, because the mean of its divisors is an integer number (952687620).

Almost surely, 220006438130 is an apocalyptic number.

20006438130 is an abundant number, since it is smaller than the sum of its proper divisors (40965569550).

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

20006438130 is a wasteful number, since it uses less digits than its factorization.

20006438130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10585440 (or 10585434 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 20006438130 its reverse (3183460002), we get a palindrome (23189898132).

The spelling of 20006438130 in words is "twenty billion, six million, four hundred thirty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 10585417 21170834 31756251 52927085 63512502 74097919 95268753 105854170 148195838 158781255 190537506 222293757 285806259 317562510 370489595 444587514 476343765 571612518 666881271 740979190 952687530 1111468785 1333762542 1429031295 2000643813 2222937570 2858062590 3334406355 4001287626 6668812710 10003219065 20006438130