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41349159936 = 21036741193
BaseRepresentation
bin100110100000100110…
…100001110000000000
310221201200201222000000
4212200212201300000
51134140341104221
630555012000000
72662446026460
oct464046416000
9127650658000
1041349159936
1116599582957
12801b900000
133b8c740456
142003847ba0
151120187e26
hex9a09a1c00

41349159936 has 616 divisors, whose sum is σ = 145840791264. Its totient is φ = 11466178560.

The previous prime is 41349159853. The next prime is 41349159979. The reversal of 41349159936 is 63995194314.

It is a happy number.

41349159936 is a `hidden beast` number, since 4 + 1 + 3 + 49 + 1 + 599 + 3 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 214244256 + ... + 214244448.

Almost surely, 241349159936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41349159936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72920395632).

41349159936 is an abundant number, since it is smaller than the sum of its proper divisors (104491631328).

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

41349159936 is an equidigital number, since it uses as much as digits as its factorization.

41349159936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 246 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The spelling of 41349159936 in words is "forty-one billion, three hundred forty-nine million, one hundred fifty-nine thousand, nine hundred thirty-six".