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990000000066 = 237211306122449
BaseRepresentation
bin11100110100000001001…
…10010010110001000010
310111122100210122210110010
432122000212102301002
5112210010000000231
62034444423445350
7131345060104200
oct16320046226102
93448323583403
10990000000066
11351947210a40
1213ba50bb6856
13724835ab40c
1435cb82c4070
151ab438a8546
hexe680992c42

990000000066 has 48 divisors (see below), whose sum is σ = 2512653069600. Its totient is φ = 257142856320.

The previous prime is 990000000061. The next prime is 990000000089. The reversal of 990000000066 is 660000000099.

990000000066 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 989999999970 and 990000000042.

It is not an unprimeable number, because it can be changed into a prime (990000000061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153057991 + ... + 153064458.

It is an arithmetic number, because the mean of its divisors is an integer number (52346938950).

Almost surely, 2990000000066 is an apocalyptic number.

990000000066 is an abundant number, since it is smaller than the sum of its proper divisors (1522653069534).

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

990000000066 is a wasteful number, since it uses less digits than its factorization.

990000000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306122479 (or 306122472 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The spelling of 990000000066 in words is "nine hundred ninety billion, sixty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 306122449 612244898 918367347 1836734694 2142857143 3367346939 4285714286 6428571429 6734693878 10102040817 12857142858 15000000001 20204081634 23571428573 30000000002 45000000003 47142857146 70714285719 90000000006 141428571438 165000000011 330000000022 495000000033 990000000066