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208002089423232 = 273213173492340979
BaseRepresentation
bin101111010010110101000010…
…101001110001000110000000
31000021110210202020122011021100
4233102311002221301012000
5204230401234343020412
62014214501333054400
761545440452200006
oct5722650251610600
91007423666564240
10208002089423232
1160304210970145
121b3b4246a87400
138c0a688a09940
1439514d7998a76
15190a92967cedc
hexbd2d42a71180

208002089423232 has 384 divisors, whose sum is σ = 684462755340000. Its totient is φ = 60063277842432.

The previous prime is 208002089423201. The next prime is 208002089423267. The reversal of 208002089423232 is 232324980200802.

It is a happy number.

208002089423232 is a `hidden beast` number, since 2 + 0 + 80 + 0 + 208 + 9 + 42 + 323 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87682119 + ... + 90023097.

Almost surely, 2208002089423232 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 208002089423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342231377670000).

208002089423232 is an abundant number, since it is smaller than the sum of its proper divisors (476460665916768).

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

208002089423232 is a wasteful number, since it uses less digits than its factorization.

208002089423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341378 (or 2341363 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 208002089423232 in words is "two hundred eight trillion, two billion, eighty-nine million, four hundred twenty-three thousand, two hundred thirty-two".