Search a number
-
+
244272365568 = 2153271131347
BaseRepresentation
bin1110001101111111000…
…1001000000000000000
3212100111202112212202200
43203133301020000000
513000232211144233
6304114524313200
723435203564050
oct3433761100000
9770452485680
10244272365568
1194660422780
123b4123a2800
131a05b5668aa
14bb73c61560
15654a082313
hex38dfc48000

244272365568 has 768 divisors, whose sum is σ = 910787604480. Its totient is φ = 61223731200.

The previous prime is 244272365527. The next prime is 244272365629. The reversal of 244272365568 is 865563272442.

244272365568 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 72 + 3 + 6 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×2442723655683 (a number of 35 digits) contains 333 as substring.

Its product of digits (19353600) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703954771 + ... + 703955117.

It is an arithmetic number, because the mean of its divisors is an integer number (1185921360).

Almost surely, 2244272365568 is an apocalyptic number.

244272365568 is a gapful number since it is divisible by the number (28) 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 244272365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455393802240).

244272365568 is an abundant number, since it is smaller than the sum of its proper divisors (666515238912).

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

244272365568 is a wasteful number, since it uses less digits than its factorization.

244272365568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 401 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 244272365568 in words is "two hundred forty-four billion, two hundred seventy-two million, three hundred sixty-five thousand, five hundred sixty-eight".