Search a number
-
+
2443198896000 = 27335347911807
BaseRepresentation
bin100011100011011010000…
…000001001011110000000
322122120022201202111211000
4203203122000021132000
5310012132404133000
65110220131252000
7341341513651212
oct43433200113600
98576281674730
102443198896000
118621780a0125
1233561244a000
131495148c8125
1486373ddc5b2
154384713e000
hex238da009780

2443198896000 has 512 divisors, whose sum is σ = 9018667008000. Its totient is φ = 650104473600.

The previous prime is 2443198895959. The next prime is 2443198896031. The reversal of 2443198896000 is 6988913442.

2443198896000 is a `hidden beast` number, since 2 + 443 + 198 + 8 + 9 + 6 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206922097 + ... + 206933903.

It is an arithmetic number, because the mean of its divisors is an integer number (17614584000).

Almost surely, 22443198896000 is an apocalyptic number.

2443198896000 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 2443198896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509333504000).

2443198896000 is an abundant number, since it is smaller than the sum of its proper divisors (6575468112000).

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

2443198896000 is a wasteful number, since it uses less digits than its factorization.

2443198896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12324 (or 12296 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 2443198896000 in words is "two trillion, four hundred forty-three billion, one hundred ninety-eight million, eight hundred ninety-six thousand".