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41152362272 = 25724721092
BaseRepresentation
bin100110010100110111…
…110011011100100000
310221012222102121100122
4212110313303130200
51133240001043042
630523301535412
72654536210400
oct462467633440
9127188377318
1041152362272
11164a848795a
127b85a14568
133b5aa37928
141dc565a800
15110cc627d2
hex994df3720

41152362272 has 162 divisors, whose sum is σ = 97185700017. Its totient is φ = 17103115008.

The previous prime is 41152362269. The next prime is 41152362313. The reversal of 41152362272 is 27226325114.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41152362272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39488048656 + 1664313616 = 198716^2 + 40796^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=143444.

Its product of digits (40320) is a multiple of the sum of its prime factors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 377544554 + ... + 377544662.

Almost surely, 241152362272 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 41152362272

41152362272 is an abundant number, since it is smaller than the sum of its proper divisors (56033337745).

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

41152362272 is an equidigital number, since it uses as much as digits as its factorization.

41152362272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 165 counting only the distinct ones).

The product of its digits is 40320, while the sum is 35.

Adding to 41152362272 its reverse (27226325114), we get a palindrome (68378687386).

The spelling of 41152362272 in words is "forty-one billion, one hundred fifty-two million, three hundred sixty-two thousand, two hundred seventy-two".