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204197698320 = 243571119718191
BaseRepresentation
bin1011111000101100100…
…0011001101100010000
3201112001212222212001120
42332023020121230100
511321144102321240
6233450201202240
720516131540350
oct2761310315420
9645055885046
10204197698320
1179666306070
12336a9490380
1316342ba0335
149c517b8b60
1554a1c4bad0
hex2f8b219b10

204197698320 has 640 divisors, whose sum is σ = 842551787520. Its totient is φ = 39626496000.

The previous prime is 204197698319. The next prime is 204197698343. The reversal of 204197698320 is 23896791402.

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 127 ways as a sum of consecutive naturals, for example, 24925425 + ... + 24933615.

It is an arithmetic number, because the mean of its divisors is an integer number (1316487168).

Almost surely, 2204197698320 is an apocalyptic number.

204197698320 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 204197698320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421275893760).

204197698320 is an abundant number, since it is smaller than the sum of its proper divisors (638354089200).

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

204197698320 is a wasteful number, since it uses less digits than its factorization.

204197698320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 204197698320 in words is "two hundred four billion, one hundred ninety-seven million, six hundred ninety-eight thousand, three hundred twenty".