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99954206208 = 2932672631231
BaseRepresentation
bin101110100010110111…
…1000010011000000000
3100112222222110202222100
41131011233002120000
53114201234044313
6113530205310400
710135646506623
oct1350557023000
9315888422870
1099954206208
11394325a859a
1217456565400
13956c197a1c
144ba2d3ddba
1529001e1173
hex1745bc2600

99954206208 has 240 divisors, whose sum is σ = 294132174336. Its totient is φ = 32669429760.

The previous prime is 99954206203. The next prime is 99954206249. The reversal of 99954206208 is 80260245999.

It is a happy number.

99954206208 is a `hidden beast` number, since 9 + 9 + 9 + 5 + 4 + 2 + 0 + 620 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99954206203) 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, 81196953 + ... + 81198183.

Almost surely, 299954206208 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 99954206208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147066087168).

99954206208 is an abundant number, since it is smaller than the sum of its proper divisors (194177968128).

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

99954206208 is a wasteful number, since it uses less digits than its factorization.

99954206208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

It can be divided in two parts, 9995420 and 6208, that added together give a triangular number (10001628 = T4472).

The spelling of 99954206208 in words is "ninety-nine billion, nine hundred fifty-four million, two hundred six thousand, two hundred eight".