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41748071040 = 2732513557533
BaseRepresentation
bin100110111000011000…
…010000001010000000
310222202111100202011100
4212320120100022000
51141000001233130
631102342014400
73005361514554
oct467030201200
9128674322140
1041748071040
1116783774755
128111417400
133c24290220
142040807864
1511451d3c60
hex9b8610280

41748071040 has 192 divisors, whose sum is σ = 155250917640. Its totient is φ = 10276429824.

The previous prime is 41748071003. The next prime is 41748071059. The reversal of 41748071040 is 4017084714.

It can be written as a sum of positive squares in 4 ways, for example, as 26548140096 + 15199930944 = 162936^2 + 123288^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41748070986 and 41748071004.

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 23 ways as a sum of consecutive naturals, for example, 203887 + ... + 353646.

Almost surely, 241748071040 is an apocalyptic number.

41748071040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41748071040 is an abundant number, since it is smaller than the sum of its proper divisors (113502846600).

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

41748071040 is a wasteful number, since it uses less digits than its factorization.

41748071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557571 (or 557556 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The spelling of 41748071040 in words is "forty-one billion, seven hundred forty-eight million, seventy-one thousand, forty".