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145565316546 = 231322971113617
BaseRepresentation
bin1000011110010001011…
…1100111010111000010
3111220201200211020211020
42013210113213113002
54341104210112141
6150512145530310
713342146526656
oct2074427472702
9456650736736
10145565316546
115680890a901
1224265643996
131095a894800
14708c808a66
153bbe5e4266
hex21e45e75c2

145565316546 has 192 divisors, whose sum is σ = 334179198720. Its totient is φ = 42189987840.

The previous prime is 145565316511. The next prime is 145565316557. The reversal of 145565316546 is 645613565541.

145565316546 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1455653165462 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 235924030 + ... + 235924646.

It is an arithmetic number, because the mean of its divisors is an integer number (1740516660).

Almost surely, 2145565316546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145565316546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167089599360).

145565316546 is an abundant number, since it is smaller than the sum of its proper divisors (188613882174).

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

145565316546 is a wasteful number, since it uses less digits than its factorization.

145565316546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 848 counting only the distinct ones).

The product of its digits is 6480000, while the sum is 51.

The spelling of 145565316546 in words is "one hundred forty-five billion, five hundred sixty-five million, three hundred sixteen thousand, five hundred forty-six".