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15315322112 = 281133891361
BaseRepresentation
bin11100100001101110…
…10100010100000000
31110112100110222022022
432100313110110000
5222331210301422
611011420301012
71051346042606
oct162067242400
943470428268
1015315322112
11654a111202
122b750a1768
1315a0c7cc9c
14a54065876
155e984d342
hex390dd4500

15315322112 has 72 divisors (see below), whose sum is σ = 30943359720. Its totient is φ = 7564820480.

The previous prime is 15315322111. The next prime is 15315322189. The reversal of 15315322112 is 21122351351.

It can be written as a sum of positive squares in 4 ways, for example, as 957531136 + 14357790976 = 30944^2 + 119824^2 .

It is a super-2 number, since 2×153153221122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15315322111) 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 7 ways as a sum of consecutive naturals, for example, 11252312 + ... + 11253672.

It is an arithmetic number, because the mean of its divisors is an integer number (429768885).

Almost surely, 215315322112 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 15315322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471679860).

15315322112 is an abundant number, since it is smaller than the sum of its proper divisors (15628037608).

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

15315322112 is a wasteful number, since it uses less digits than its factorization.

15315322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1865 counting only the distinct ones).

The product of its digits is 1800, while the sum is 26.

Adding to 15315322112 its reverse (21122351351), we get a palindrome (36437673463).

The spelling of 15315322112 in words is "fifteen billion, three hundred fifteen million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 389 452 778 904 1361 1556 1808 2722 3112 3616 5444 6224 7232 10888 12448 14464 21776 24896 28928 43552 43957 49792 87104 87914 99584 153793 174208 175828 307586 348416 351656 529429 615172 703312 1058858 1230344 1406624 2117716 2460688 2813248 4235432 4921376 5626496 8470864 9842752 11252992 16941728 19685504 33883456 39371008 59825477 67766912 119650954 135533824 239301908 478603816 957207632 1914415264 3828830528 7657661056 15315322112