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906970069029 = 319277351716333
BaseRepresentation
bin11010011001010111010…
…00001111100000100101
310012201001022012021110010
431030223220033200211
5104324433314202104
61532353432120433
7122345364246333
oct15145350174045
93181038167403
10906970069029
1131a709a60922
1212793a536119
13676b08125cb
1431c7cd90b53
15188d43d2489
hexd32ba0f825

906970069029 has 32 divisors (see below), whose sum is σ = 1277977386880. Its totient is φ = 570558028032.

The previous prime is 906970069021. The next prime is 906970069069. The reversal of 906970069029 is 920960079609.

It is not a de Polignac number, because 906970069029 - 23 = 906970069021 is a prime.

It is a super-3 number, since 3×9069700690293 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 906970069029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906970069021) 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 31 ways as a sum of consecutive naturals, for example, 55521747 + ... + 55538079.

It is an arithmetic number, because the mean of its divisors is an integer number (39936793340).

Almost surely, 2906970069029 is an apocalyptic number.

It is an amenable number.

906970069029 is a deficient number, since it is larger than the sum of its proper divisors (371007317851).

906970069029 is a wasteful number, since it uses less digits than its factorization.

906970069029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20149.

The product of its (nonzero) digits is 3306744, while the sum is 57.

The spelling of 906970069029 in words is "nine hundred six billion, nine hundred seventy million, sixty-nine thousand, twenty-nine".

Divisors: 1 3 19 57 277 831 3517 5263 10551 15789 16333 48999 66823 200469 310327 930981 974209 2922627 4524241 13572723 18509971 55529913 57443161 85960579 172329483 257881737 1091420059 3274260177 15911755597 47735266791 302323356343 906970069029