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61946264916 = 22334313338989
BaseRepresentation
bin111001101100010010…
…001111110101010100
312220220010211022022000
4321230102033311110
52003331220434131
644242511235300
74322041364304
oct715422176524
9186803738260
1061946264916
11242a9062768
1210009818b30
135ac2a3c033
142dd9161604
15192854dce6
hexe6c48fd54

61946264916 has 48 divisors (see below), whose sum is σ = 164336356800. Its totient is φ = 20168549856.

The previous prime is 61946264909. The next prime is 61946264917.

61946264916 is a `hidden beast` number, since 6 + 1 + 9 + 4 + 626 + 4 + 9 + 1 + 6 = 666.

61946264916 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61946264917) 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 15 ways as a sum of consecutive naturals, for example, 6664851 + ... + 6674138.

It is an arithmetic number, because the mean of its divisors is an integer number (3423674100).

Almost surely, 261946264916 is an apocalyptic number.

It is an amenable number.

61946264916 is an abundant number, since it is smaller than the sum of its proper divisors (102390091884).

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

61946264916 is a wasteful number, since it uses less digits than its factorization.

61946264916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13339045 (or 13339037 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 61946264916 in words is "sixty-one billion, nine hundred forty-six million, two hundred sixty-four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 13338989 26677978 40016967 53355956 80033934 120050901 160067868 240101802 360152703 480203604 573576527 720305406 1147153054 1440610812 1720729581 2294306108 3441459162 5162188743 6882918324 10324377486 15486566229 20648754972 30973132458 61946264916