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15146104036 = 22723172769
BaseRepresentation
bin11100001101100011…
…10011010011100100
31110002120001210202011
432012301303103210
5222004400312121
610542533324004
71044222521500
oct160661632344
943076053664
1015146104036
116472643158
122b28496604
131574bb284b
14a397b7300
155d9a747e1
hex386c734e4

15146104036 has 54 divisors (see below), whose sum is σ = 30970934610. Its totient is φ = 6462296064.

The previous prime is 15146103977. The next prime is 15146104081. The reversal of 15146104036 is 63040164151.

15146104036 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 3 ways, for example, as 649944036 + 14496160000 = 25494^2 + 120400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15146103989 and 15146104007.

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 17 ways as a sum of consecutive naturals, for example, 19695460 + ... + 19696228.

Almost surely, 215146104036 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 15146104036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15485467305).

15146104036 is an abundant number, since it is smaller than the sum of its proper divisors (15824830574).

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

15146104036 is an equidigital number, since it uses as much as digits as its factorization.

15146104036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 15146104036 its reverse (63040164151), we get a palindrome (78186268187).

The spelling of 15146104036 in words is "fifteen billion, one hundred forty-six million, one hundred four thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 317 634 769 1268 1538 2219 3076 4438 5383 8876 10766 15533 21532 31066 37681 62132 75362 100489 150724 200978 243773 401956 487546 703423 975092 1406846 1706411 2813692 3412822 4923961 6825644 9847922 11944877 19695844 23889754 47779508 77276041 154552082 309104164 540932287 1081864574 2163729148 3786526009 7573052018 15146104036