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1042611661 = 72131739461
BaseRepresentation
bin111110001001001…
…111110111001101
32200122212011022201
4332021033313031
54113402033121
6251242441501
734560024100
oct7611176715
92618764281
101042611661
11495588633
12251203291
131380096a0
149c680737
15617ebe91
hex3e24fdcd

1042611661 has 24 divisors (see below), whose sum is σ = 1313817624. Its totient is φ = 820068480.

The previous prime is 1042611653. The next prime is 1042611667. The reversal of 1042611661 is 1661162401.

It can be written as a sum of positive squares in 4 ways, for example, as 303804900 + 738806761 = 17430^2 + 27181^2 .

It is not a de Polignac number, because 1042611661 - 23 = 1042611653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042611667) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105471 + ... + 114931.

It is an arithmetic number, because the mean of its divisors is an integer number (54742401).

Almost surely, 21042611661 is an apocalyptic number.

It is an amenable number.

1042611661 is a deficient number, since it is larger than the sum of its proper divisors (271205963).

1042611661 is a wasteful number, since it uses less digits than its factorization.

1042611661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9661 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 1042611661 is about 32289.4976888771. The cubic root of 1042611661 is about 1014.0067810872.

The spelling of 1042611661 in words is "one billion, forty-two million, six hundred eleven thousand, six hundred sixty-one".

Divisors: 1 7 13 49 91 173 637 1211 2249 8477 9461 15743 66227 110201 122993 463589 860951 1636753 6026657 11457271 21277789 80200897 148944523 1042611661