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1026422046720 = 215355729127
BaseRepresentation
bin11101110111110111000…
…01011000000000000000
310122010101010011110200000
432323323201120000000
5113304103020443340
62103310510400000
7134104460305140
oct16737341300000
93563333143600
101026422046720
11366337539744
12146b16800000
1375a392cc705
1437971600920
151ba761d5d30
hexeefb858000

1026422046720 has 1536 divisors, whose sum is σ = 4396905676800. Its totient is φ = 224737099776.

The previous prime is 1026422046703. The next prime is 1026422046721. The reversal of 1026422046720 is 276402246201.

1026422046720 is a `hidden beast` number, since 1 + 0 + 2 + 642 + 2 + 0 + 4 + 6 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026422046721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8082063297 + ... + 8082063423.

It is an arithmetic number, because the mean of its divisors is an integer number (2862568800).

Almost surely, 21026422046720 is an apocalyptic number.

1026422046720 is a gapful number since it is divisible by the number (10) 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 1026422046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198452838400).

1026422046720 is an abundant number, since it is smaller than the sum of its proper divisors (3370483630080).

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

1026422046720 is an frugal number, since it uses more digits than its factorization.

1026422046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1026422046720 in words is "one trillion, twenty-six billion, four hundred twenty-two million, forty-six thousand, seven hundred twenty".