Search a number
-
+
204628872326400 = 283652127367941
BaseRepresentation
bin101110100001101111011111…
…001111101110110100000000
3222211112022212221112222000000
4232201233133033232310000
5203310114412303421100
62003113112312000000
761046643134022444
oct5641573717566400
9884468787488000
10204628872326400
115a223687845695
121ab4a543390000
138a2455c58a102
14387613998c824
15189ccee9e0900
hexba1bdf3eed00

204628872326400 has 1512 divisors, whose sum is σ = 768265705181184. Its totient is φ = 53933141606400.

The previous prime is 204628872326399. The next prime is 204628872326401. The reversal of 204628872326400 is 4623278826402.

204628872326400 is a `hidden beast` number, since 2 + 0 + 4 + 62 + 88 + 72 + 32 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (204628872326399) and next prime (204628872326401).

It is a super-2 number, since 2×2046288723264002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204628872326401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 217458949930 + ... + 217458950870.

Almost surely, 2204628872326400 is an apocalyptic number.

204628872326400 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 204628872326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384132852590592).

204628872326400 is an abundant number, since it is smaller than the sum of its proper divisors (563636832854784).

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

204628872326400 is an equidigital number, since it uses as much as digits as its factorization.

204628872326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 204628872326400 in words is "two hundred four trillion, six hundred twenty-eight billion, eight hundred seventy-two million, three hundred twenty-six thousand, four hundred".