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309693963852 = 22327131922921727
BaseRepresentation
bin1001000000110110011…
…00101101111001001100
31002121101002211102012100
410200123030231321030
520033223123320402
6354134344235100
731242335154540
oct4403314557114
91077332742170
10309693963852
1110a382194879
125002ba6ba90
13232862b69b0
1410dbc79da20
1580c876971c
hex481b32de4c

309693963852 has 288 divisors, whose sum is σ = 1018678169600. Its totient is φ = 77037267456.

The previous prime is 309693963809. The next prime is 309693963857. The reversal of 309693963852 is 258369396903.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 309693963852.

It is not an unprimeable number, because it can be changed into a prime (309693963857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14243013 + ... + 14264739.

Almost surely, 2309693963852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309693963852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509339084800).

309693963852 is an abundant number, since it is smaller than the sum of its proper divisors (708984205748).

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

309693963852 is a wasteful number, since it uses less digits than its factorization.

309693963852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22005 (or 22000 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 309693963852 in words is "three hundred nine billion, six hundred ninety-three million, nine hundred sixty-three thousand, eight hundred fifty-two".