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2243816297856 = 27347219232457
BaseRepresentation
bin100000101001101101110…
…111111001010110000000
321221111200102020002110000
4200221231313321112000
5243230313433012411
64434443414240000
7321052600561500
oct40515567712600
97844612202400
102243816297856
117956628930a1
12302a49656000
1313378b4884c3
147a85bd13a00
153d577ec3956
hex20a6ddf9580

2243816297856 has 480 divisors, whose sum is σ = 8176640412600. Its totient is φ = 607346159616.

The previous prime is 2243816297851. The next prime is 2243816297873. The reversal of 2243816297856 is 6587926183422.

2243816297856 is a `hidden beast` number, since 2 + 2 + 438 + 1 + 62 + 97 + 8 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2243816297793 and 2243816297802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243816297851) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9536380 + ... + 9768836.

Almost surely, 22243816297856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243816297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4088320206300).

2243816297856 is an abundant number, since it is smaller than the sum of its proper divisors (5932824114744).

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

2243816297856 is a wasteful number, since it uses less digits than its factorization.

2243816297856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232516 (or 232488 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 2243816297856 in words is "two trillion, two hundred forty-three billion, eight hundred sixteen million, two hundred ninety-seven thousand, eight hundred fifty-six".