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40825213560 = 23325113403371
BaseRepresentation
bin100110000001010111…
…110101001001111000
310220101011211201200200
4212001113311021320
51132102223313220
630431014002200
72643454406145
oct460127651170
9126334751620
1040825213560
111634a85021a
127ab4346360
133b08022901
141d9401b3cc
1510de18e890
hex9815f5278

40825213560 has 48 divisors (see below), whose sum is σ = 132681945240. Its totient is φ = 10886723520.

The previous prime is 40825213477. The next prime is 40825213571. The reversal of 40825213560 is 6531252804.

40825213560 is a `hidden beast` number, since 4 + 0 + 82 + 5 + 2 + 13 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56701326 + ... + 56702045.

Almost surely, 240825213560 is an apocalyptic number.

40825213560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40825213560 is an abundant number, since it is smaller than the sum of its proper divisors (91856731680).

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

40825213560 is a wasteful number, since it uses less digits than its factorization.

40825213560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113403388 (or 113403381 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 40825213560 in words is "forty billion, eight hundred twenty-five million, two hundred thirteen thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 113403371 226806742 340210113 453613484 567016855 680420226 907226968 1020630339 1134033710 1360840452 1701050565 2041260678 2268067420 2721680904 3402101130 4082521356 4536134840 5103151695 6804202260 8165042712 10206303390 13608404520 20412606780 40825213560