Search a number
-
+
204650374080 = 26351914097963
BaseRepresentation
bin1011111010011000011…
…1001110001111000000
3201120020102210011110110
42332212013032033000
511323110443432310
6234003131431320
720533266322635
oct2764607161700
9646212704413
10204650374080
117987888a069
12337b4bb5540
13163b58c5c09
149c9597218c
1554cb867d20
hex2fa61ce3c0

204650374080 has 224 divisors, whose sum is σ = 684534470400. Its totient is φ = 51657965568.

The previous prime is 204650374069. The next prime is 204650374109. The reversal of 204650374080 is 80473056402.

It is a happy number.

204650374080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2046503740802 (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 25696179 + ... + 25704141.

Almost surely, 2204650374080 is an apocalyptic number.

204650374080 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 204650374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342267235200).

204650374080 is an abundant number, since it is smaller than the sum of its proper divisors (479884096320).

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

204650374080 is a wasteful number, since it uses less digits than its factorization.

204650374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9411 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 204650374080 in words is "two hundred four billion, six hundred fifty million, three hundred seventy-four thousand, eighty".