Search a number
-
+
29868994620 = 22345231017937
BaseRepresentation
bin11011110100010101…
…001011000000111100
32212002121210010210000
4123310111023000330
5442132430311440
621415512114300
72105116156653
oct336425130074
985077703700
1029868994620
11117382a5823
125957095990
132a801b6b1a
141634ca619a
15b9c39c730
hex6f454b03c

29868994620 has 240 divisors, whose sum is σ = 98754562368. Its totient is φ = 7542374400.

The previous prime is 29868994619. The next prime is 29868994637. The reversal of 29868994620 is 2649986892.

29868994620 is a `hidden beast` number, since 2 + 9 + 86 + 8 + 99 + 462 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3759292 + ... + 3767228.

Almost surely, 229868994620 is an apocalyptic number.

29868994620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29868994620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49377281184).

29868994620 is an abundant number, since it is smaller than the sum of its proper divisors (68885567748).

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

29868994620 is a wasteful number, since it uses less digits than its factorization.

29868994620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 8071 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 29868994620 in words is "twenty-nine billion, eight hundred sixty-eight million, nine hundred ninety-four thousand, six hundred twenty".