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200742333696 = 2834192322153
BaseRepresentation
bin1011101011110100101…
…1001110110100000000
3201012011002010010220000
42322331023032310000
511242110014134241
6232115244520000
720334403453122
oct2727513166400
9635132103800
10200742333696
11781528a5523
1232aa4250000
1315c12061398
149a04919212
15534d709eb6
hex2ebd2ced00

200742333696 has 360 divisors, whose sum is σ = 657505907520. Its totient is φ = 60633391104.

The previous prime is 200742333683. The next prime is 200742333709. The reversal of 200742333696 is 696333247002.

200742333696 is a `hidden beast` number, since 200 + 7 + 4 + 23 + 336 + 96 = 666.

200742333696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200742333683) and next prime (200742333709).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9050556 + ... + 9072708.

Almost surely, 2200742333696 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 200742333696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328752953760).

200742333696 is an abundant number, since it is smaller than the sum of its proper divisors (456763573824).

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

200742333696 is a wasteful number, since it uses less digits than its factorization.

200742333696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22223 (or 22200 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 200742333696 in words is "two hundred billion, seven hundred forty-two million, three hundred thirty-three thousand, six hundred ninety-six".