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1066204944 = 24347211557
BaseRepresentation
bin111111100011001…
…111111100010000
32202022020211020000
4333203033330100
54140422024234
6253444250000
735264410140
oct7743177420
92668224200
101066204944
114a7932612
122590a0900
1313cb7a4cc
14a1862920
156390c899
hex3f8cff10

1066204944 has 200 divisors, whose sum is σ = 3549826368. Its totient is φ = 302641920.

The previous prime is 1066204933. The next prime is 1066205003. The reversal of 1066204944 is 4494026601.

1066204944 is a `hidden beast` number, since 106 + 62 + 0 + 494 + 4 = 666.

It is a super-2 number, since 2×10662049442 = 2273585965220086272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1066204899 and 1066204908.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1913914 + ... + 1914470.

Almost surely, 21066204944 is an apocalyptic number.

1066204944 is a gapful number since it is divisible by the number (14) 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 1066204944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774913184).

1066204944 is an abundant number, since it is smaller than the sum of its proper divisors (2483621424).

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

1066204944 is a wasteful number, since it uses less digits than its factorization.

1066204944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1066204944 is about 32652.7938161499. The cubic root of 1066204944 is about 1021.5984625667.

The spelling of 1066204944 in words is "one billion, sixty-six million, two hundred four thousand, nine hundred forty-four".