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90468156306 = 23117191906439
BaseRepresentation
bin101010001000001010…
…0101000001110010010
322122111212210111211210
41110100110220032102
52440234322000211
6105321022320550
76351612432513
oct1242024501622
9278455714753
1090468156306
1135404a08930
1215649729156
1386b9b08148
144543164a0a
1525475049a6
hex1510528392

90468156306 has 32 divisors (see below), whose sum is σ = 197659699200. Its totient is φ = 27376449680.

The previous prime is 90468156293. The next prime is 90468156307. The reversal of 90468156306 is 60365186409.

It is a super-3 number, since 3×904681563063 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (90468156307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905766 + ... + 1000673.

It is an arithmetic number, because the mean of its divisors is an integer number (6176865600).

Almost surely, 290468156306 is an apocalyptic number.

90468156306 is an abundant number, since it is smaller than the sum of its proper divisors (107191542894).

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

90468156306 is a wasteful number, since it uses less digits than its factorization.

90468156306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907174.

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 90468156306 in words is "ninety billion, four hundred sixty-eight million, one hundred fifty-six thousand, three hundred six".

Divisors: 1 2 3 6 11 22 33 66 719 1438 2157 4314 7909 15818 23727 47454 1906439 3812878 5719317 11438634 20970829 41941658 62912487 125824974 1370729641 2741459282 4112188923 8224377846 15078026051 30156052102 45234078153 90468156306