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1046631434661 = 32757153622697
BaseRepresentation
bin11110011101100000001…
…10000100100110100101
310201001112112200202011200
433032300012010212211
5114122000121402121
62120452115553113
7135421334256411
oct17166006044645
93631475622150
101046631434661
11373968182a4a
1214aa168bb799
137790a19a727
143892b62dd41
151c35a512a26
hexf3b01849a5

1046631434661 has 12 divisors (see below), whose sum is σ = 1513798066092. Its totient is φ = 696832549056.

The previous prime is 1046631434623. The next prime is 1046631434777. The reversal of 1046631434661 is 1664341366401.

1046631434661 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 631 + 4 + 3 + 4 + 6 + 6 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 235388958561 + 811242476100 = 485169^2 + 900690^2 .

It is a de Polignac number, because none of the positive numbers 2k-1046631434661 is a prime.

It is a super-2 number, since 2×10466314346612 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046631434461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76804536 + ... + 76818161.

It is an arithmetic number, because the mean of its divisors is an integer number (126149838841).

Almost surely, 21046631434661 is an apocalyptic number.

It is an amenable number.

1046631434661 is a deficient number, since it is larger than the sum of its proper divisors (467166631431).

1046631434661 is a wasteful number, since it uses less digits than its factorization.

1046631434661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153623460 (or 153623457 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1046631434661 in words is "one trillion, forty-six billion, six hundred thirty-one million, four hundred thirty-four thousand, six hundred sixty-one".

Divisors: 1 3 9 757 2271 6813 153622697 460868091 1382604273 116292381629 348877144887 1046631434661