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41634725361131 = 713149990988357
BaseRepresentation
bin10010111011101110101110…
…00000111111010111101011
312110102020111121002121112002
421131313113000333113223
520424120404143024011
6224314421230041215
711525003210252510
oct1135672700772753
9173366447077462
1041634725361131
11122a2208062321
12480510934920b
131a301a3856066
14a3d1baa21307
154c3034bd1c3b
hex25ddd703f5eb

41634725361131 has 16 divisors (see below), whose sum is σ = 48041853024000. Its totient is φ = 35343517004640.

The previous prime is 41634725361107. The next prime is 41634725361149. The reversal of 41634725361131 is 13116352743614.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41634725361131 is a prime.

It is a super-2 number, since 2×416347253611312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41634725361101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45036596 + ... + 45951761.

It is an arithmetic number, because the mean of its divisors is an integer number (3002615814000).

Almost surely, 241634725361131 is an apocalyptic number.

41634725361131 is a deficient number, since it is larger than the sum of its proper divisors (6407127662869).

41634725361131 is a wasteful number, since it uses less digits than its factorization.

41634725361131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90988994.

The product of its digits is 1088640, while the sum is 47.

The spelling of 41634725361131 in words is "forty-one trillion, six hundred thirty-four billion, seven hundred twenty-five million, three hundred sixty-one thousand, one hundred thirty-one".

Divisors: 1 7 131 499 917 3493 65369 457583 90988357 636918499 11919474767 45403190143 83436323369 317822331001 5947817908733 41634725361131