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2683404770112 = 2637114142509
BaseRepresentation
bin100111000011000111011…
…000110101101101000000
3100111112100002111020000000
4213003013120311231000
5322431103110120422
65412423353000000
7364604162130123
oct47030730655500
910445302436000
102683404770112
11945031044660
1237408a9b3000
1316607582c751
1493c3db5c3ba
1549c051b4cac
hex270c7635b40

2683404770112 has 448 divisors, whose sum is σ = 8924814662400. Its totient is φ = 793301299200.

The previous prime is 2683404770087. The next prime is 2683404770147. The reversal of 2683404770112 is 2110774043862.

2683404770112 is a `hidden beast` number, since 2 + 68 + 3 + 4 + 0 + 477 + 0 + 112 = 666.

It is a super-2 number, since 2×26834047701122 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63104314 + ... + 63146822.

It is an arithmetic number, because the mean of its divisors is an integer number (19921461300).

Almost surely, 22683404770112 is an apocalyptic number.

2683404770112 is a gapful number since it is divisible by the number (22) 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 2683404770112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462407331200).

2683404770112 is an abundant number, since it is smaller than the sum of its proper divisors (6241409892288).

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

2683404770112 is an equidigital number, since it uses as much as digits as its factorization.

2683404770112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42594 (or 42566 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 2683404770112 in words is "two trillion, six hundred eighty-three billion, four hundred four million, seven hundred seventy thousand, one hundred twelve".