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15352161312 = 253673317211
BaseRepresentation
bin11100100110000111…
…10110010000100000
31110121220210121012010
432103003312100200
5222420123130222
611015214032520
71052304134535
oct162303662040
943556717163
1015352161312
116568993024
122b854a8740
1315a87aac27
14a58cd4d8c
155ecbc880c
hex3930f6420

15352161312 has 96 divisors (see below), whose sum is σ = 41030164224. Its totient is φ = 5025081600.

The previous prime is 15352161283. The next prime is 15352161343. The reversal of 15352161312 is 21316125351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×153521613122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 15352161312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2125387 + ... + 2132597.

It is an arithmetic number, because the mean of its divisors is an integer number (427397544).

Almost surely, 215352161312 is an apocalyptic number.

15352161312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15352161312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20515082112).

15352161312 is an abundant number, since it is smaller than the sum of its proper divisors (25678002912).

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

15352161312 is a wasteful number, since it uses less digits than its factorization.

15352161312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7622 (or 7614 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

Adding to 15352161312 its reverse (21316125351), we get a palindrome (36668286663).

The spelling of 15352161312 in words is "fifteen billion, three hundred fifty-two million, one hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 331 402 536 662 804 993 1072 1324 1608 1986 2144 2648 3216 3972 5296 6432 7211 7944 10592 14422 15888 21633 22177 28844 31776 43266 44354 57688 66531 86532 88708 115376 133062 173064 177416 230752 266124 346128 354832 483137 532248 692256 709664 966274 1064496 1449411 1932548 2128992 2386841 2898822 3865096 4773682 5797644 7160523 7730192 9547364 11595288 14321046 15460384 19094728 23190576 28642092 38189456 46381152 57284184 76378912 114568368 159918347 229136736 319836694 479755041 639673388 959510082 1279346776 1919020164 2558693552 3838040328 5117387104 7676080656 15352161312