Search a number
-
+
244053692064 = 25347133133377
BaseRepresentation
bin1110001101001010111…
…0111100111010100000
3212022221112002010010000
43203102232330322200
512444310221121224
6304041113340000
723426610104010
oct3432256747240
9768845063100
10244053692064
1194558a46076
123b371107600
131a025171ba0
14bb52bbbc40
156535c8a0c9
hex38d2bbcea0

244053692064 has 480 divisors, whose sum is σ = 911914730496. Its totient is φ = 62287626240.

The previous prime is 244053691997. The next prime is 244053692083. The reversal of 244053692064 is 460296350442.

244053692064 is a `hidden beast` number, since 2 + 4 + 405 + 36 + 9 + 206 + 4 = 666.

It is a super-2 number, since 2×2440536920642 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7295344 + ... + 7328720.

Almost surely, 2244053692064 is an apocalyptic number.

244053692064 is a gapful number since it is divisible by the number (24) 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 244053692064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455957365248).

244053692064 is an abundant number, since it is smaller than the sum of its proper divisors (667861038432).

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

244053692064 is a wasteful number, since it uses less digits than its factorization.

244053692064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33450 (or 33433 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 244053692064 in words is "two hundred forty-four billion, fifty-three million, six hundred ninety-two thousand, sixty-four".