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11526406216 = 23131511933803
BaseRepresentation
bin10101011110000011…
…10000000001001000
31002202021222002210221
422233001300001020
5142101224444331
65143430515424
7555430556563
oct125701600110
932667862727
1011526406216
1149853a0656
122298205b74
131118cc6a10
147b4b7b4da
15476dc1711
hex2af070048

11526406216 has 64 divisors (see below), whose sum is σ = 23556193920. Its totient is φ = 5255884800.

The previous prime is 11526406211. The next prime is 11526406247. The reversal of 11526406216 is 61260462511.

It is not an unprimeable number, because it can be changed into a prime (11526406211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3028971 + ... + 3032773.

It is an arithmetic number, because the mean of its divisors is an integer number (368065530).

Almost surely, 211526406216 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 11526406216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11778096960).

11526406216 is an abundant number, since it is smaller than the sum of its proper divisors (12029787704).

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

11526406216 is a wasteful number, since it uses less digits than its factorization.

11526406216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 11526406216 its reverse (61260462511), we get a palindrome (72786868727).

The spelling of 11526406216 in words is "eleven billion, five hundred twenty-six million, four hundred six thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 52 104 151 193 302 386 604 772 1208 1544 1963 2509 3803 3926 5018 7606 7852 10036 15212 15704 20072 29143 30424 49439 58286 98878 116572 197756 233144 378859 395512 574253 733979 757718 1148506 1467958 1515436 2297012 2935916 3030872 4594024 5871832 7465289 9541727 14930578 19083454 29861156 38166908 59722312 76333816 110830829 221661658 443323316 886646632 1440800777 2881601554 5763203108 11526406216