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13316236816 = 2417216972
BaseRepresentation
bin11000110011011010…
…11010011000010000
31021101000211220211011
430121231122120100
5204232424034231
610041205100304
7650663100601
oct143155323020
937330756734
1013316236816
1157137398a3
1226b76b7694
131342a6608c
14904767da8
1552e0bb9b1
hex319b5a610

13316236816 has 45 divisors (see below), whose sum is σ = 27423302119. Its totient is φ = 6262771712.

The previous prime is 13316236793. The next prime is 13316236831. The reversal of 13316236816 is 61863261331.

The square root of 13316236816 is 115396.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7993075216 + 5323161600 = 89404^2 + 72960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7846080 + ... + 7847776.

Almost surely, 213316236816 is an apocalyptic number.

13316236816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13316236816 is the 115396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13316236816

13316236816 is an abundant number, since it is smaller than the sum of its proper divisors (14107065303).

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

13316236816 is an frugal number, since it uses more digits than its factorization.

13316236816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 1716 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The spelling of 13316236816 in words is "thirteen billion, three hundred sixteen million, two hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1697 2312 3394 4624 6788 13576 27152 28849 57698 115396 230792 461584 490433 980866 1961732 2879809 3923464 5759618 7846928 11519236 23038472 46076944 48956753 97913506 195827012 391654024 783308048 832264801 1664529602 3329059204 6658118408 13316236816