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61672125681 = 332778246039
BaseRepresentation
bin111001011011111100…
…011111010011110001
312220012000222120222000
4321123330133103301
52002301031010211
644155355404213
74312202263455
oct713374372361
9186160876860
1061672125681
1124178341911
12bb51a53669
135a7acc717a
142db09a0665
15190e44c656
hexe5bf1f4f1

61672125681 has 16 divisors (see below), whose sum is σ = 91695964800. Its totient is φ = 40966316784.

The previous prime is 61672125643. The next prime is 61672125727. The reversal of 61672125681 is 18652127616.

61672125681 is a `hidden beast` number, since 6 + 1 + 6 + 72 + 12 + 568 + 1 = 666.

It is not a de Polignac number, because 61672125681 - 218 = 61671863537 is a prime.

It is a super-2 number, since 2×616721256812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61672125611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4115541 + ... + 4130498.

It is an arithmetic number, because the mean of its divisors is an integer number (5730997800).

Almost surely, 261672125681 is an apocalyptic number.

It is an amenable number.

61672125681 is a deficient number, since it is larger than the sum of its proper divisors (30023839119).

61672125681 is a wasteful number, since it uses less digits than its factorization.

61672125681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246325 (or 8246319 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 61672125681 in words is "sixty-one billion, six hundred seventy-two million, one hundred twenty-five thousand, six hundred eighty-one".

Divisors: 1 3 9 27 277 831 2493 7479 8246039 24738117 74214351 222643053 2284152803 6852458409 20557375227 61672125681