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2897033682816 = 27367213174761
BaseRepresentation
bin101010001010000100101…
…010011101111110000000
3101020221202020222102000000
4222022010222131332000
5334431111110322231
610054513502000000
7416206124000400
oct52120452357600
911227666872000
102897033682816
11a17696a96679
123a956a876000
1318025c6002c0
14a0307d1a800
1550559dba6e6
hex2a284a9df80

2897033682816 has 2688 divisors, whose sum is σ = 11914303685760. Its totient is φ = 692270530560.

The previous prime is 2897033682773. The next prime is 2897033682841. The reversal of 2897033682816 is 6182863307982.

2897033682816 is a `hidden beast` number, since 2 + 89 + 70 + 336 + 82 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 47492355426 + ... + 47492355486.

It is an arithmetic number, because the mean of its divisors is an integer number (4432404645).

Almost surely, 22897033682816 is an apocalyptic number.

2897033682816 is a gapful number since it is divisible by the number (26) 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 2897033682816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957151842880).

2897033682816 is an abundant number, since it is smaller than the sum of its proper divisors (9017270002944).

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

2897033682816 is a wasteful number, since it uses less digits than its factorization.

2897033682816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2897033682816 in words is "two trillion, eight hundred ninety-seven billion, thirty-three million, six hundred eighty-two thousand, eight hundred sixteen".