Search a number
-
+
204672473343360 = 2734511341711019
BaseRepresentation
bin101110100010011000000110…
…000100011010010110000000
3222211200111102120120010010000
4232202120012010122112000
5203311323211133441420
62003145123005040000
761053045455402121
oct5642300604322600
9884614376503100
10204672473343360
115a240121447000
121ab56a91256000
138a286ba6b7629
1438782b44d2048
15189e0026da690
hexba260611a580

204672473343360 has 2560 divisors, whose sum is σ = 835987601433600. Its totient is φ = 47678754816000.

The previous prime is 204672473343271. The next prime is 204672473343379. The reversal of 204672473343360 is 63343374276402.

It is a happy number.

204672473343360 is a `hidden beast` number, since 2 + 0 + 4 + 6 + 7 + 247 + 3 + 34 + 3 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 204672473343297 and 204672473343306.

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 319 ways as a sum of consecutive naturals, for example, 200856204931 + ... + 200856205949.

It is an arithmetic number, because the mean of its divisors is an integer number (326557656810).

Almost surely, 2204672473343360 is an apocalyptic number.

204672473343360 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 204672473343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417993800716800).

204672473343360 is an abundant number, since it is smaller than the sum of its proper divisors (631315128090240).

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

204672473343360 is a wasteful number, since it uses less digits than its factorization.

204672473343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 54.

The spelling of 204672473343360 in words is "two hundred four trillion, six hundred seventy-two billion, four hundred seventy-three million, three hundred forty-three thousand, three hundred sixty".