Search a number
-
+
244248871680 = 283251123181463
BaseRepresentation
bin1110001101111001011…
…1100000001100000000
3212100110010100021012200
43203132113200030000
513000210202343210
6304112324553200
723434500103542
oct3433627401400
9770403307180
10244248871680
1194649136440
123b406552800
131a05672c098
14bb70aa7692
156547e910c0
hex38de5e0300

244248871680 has 864 divisors, whose sum is σ = 969387374592. Its totient is φ = 56202854400.

The previous prime is 244248871637. The next prime is 244248871739. The reversal of 244248871680 is 86178842442.

244248871680 is a `hidden beast` number, since 2 + 442 + 48 + 87 + 1 + 6 + 80 = 666.

It is a super-2 number, since 2×2442488716802 (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 95 ways as a sum of consecutive naturals, for example, 527535129 + ... + 527535591.

It is an arithmetic number, because the mean of its divisors is an integer number (1121976128).

Almost surely, 2244248871680 is an apocalyptic number.

244248871680 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 244248871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484693687296).

244248871680 is an abundant number, since it is smaller than the sum of its proper divisors (725138502912).

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

244248871680 is a wasteful number, since it uses less digits than its factorization.

244248871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 244248871680 in words is "two hundred forty-four billion, two hundred forty-eight million, eight hundred seventy-one thousand, six hundred eighty".