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41148188893 = 7223241151499
BaseRepresentation
bin100110010100100111…
…111000100011011101
310221012200120120120001
4212110213320203131
51133232414021033
630523032254301
72654455556200
oct462447704335
9127180516501
1041148188893
11164a6097389
127b84541391
133b59c06186
141dc4c91937
15110c6dae7d
hex9949f88dd

41148188893 has 24 divisors (see below), whose sum is σ = 50154984000. Its totient is φ = 33596196480.

The previous prime is 41148188857. The next prime is 41148188897. The reversal of 41148188893 is 39888184114.

It is not a de Polignac number, because 41148188893 - 29 = 41148188381 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41148188897) 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 23 ways as a sum of consecutive naturals, for example, 195858 + ... + 347356.

It is an arithmetic number, because the mean of its divisors is an integer number (2089791000).

Almost surely, 241148188893 is an apocalyptic number.

It is an amenable number.

41148188893 is a deficient number, since it is larger than the sum of its proper divisors (9006795107).

41148188893 is a wasteful number, since it uses less digits than its factorization.

41148188893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151777 (or 151770 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 55.

The spelling of 41148188893 in words is "forty-one billion, one hundred forty-eight million, one hundred eighty-eight thousand, eight hundred ninety-three".

Divisors: 1 7 23 49 161 241 1127 1687 5543 11809 38801 151499 271607 1060493 3484477 7423451 24391339 36511259 170739373 255578813 839758957 1789051691 5878312699 41148188893