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13006112817216 = 263569119051267
BaseRepresentation
bin1011110101000011100010…
…1111000000000001000000
31201001101001100211211002010
42331100320233000001000
53201043004340122331
643354531543252520
72511442412604051
oct275207057000100
951041040754063
1013006112817216
114164952686852
121560808a4a140
1373461823491c
1432d6dbc00728
151784bb156e46
hexbd438bc0040

13006112817216 has 56 divisors (see below), whose sum is σ = 34472485162080. Its totient is φ = 4327751621632.

The previous prime is 13006112817197. The next prime is 13006112817277. The reversal of 13006112817216 is 61271821160031.

It is a super-2 number, since 2×130061128172162 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59416386 + ... + 59634881.

It is an arithmetic number, because the mean of its divisors is an integer number (615580092180).

Almost surely, 213006112817216 is an apocalyptic number.

13006112817216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13006112817216 is an abundant number, since it is smaller than the sum of its proper divisors (21466372344864).

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

13006112817216 is a wasteful number, since it uses less digits than its factorization.

13006112817216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119051851 (or 119051841 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

Adding to 13006112817216 its reverse (61271821160031), we get a palindrome (74277933977247).

The spelling of 13006112817216 in words is "thirteen trillion, six billion, one hundred twelve million, eight hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 569 1138 1707 2276 3414 4552 6828 9104 13656 18208 27312 36416 54624 109248 119051267 238102534 357153801 476205068 714307602 952410136 1428615204 1904820272 2857230408 3809640544 5714460816 7619281088 11428921632 22857843264 67740170923 135480341846 203220512769 270960683692 406441025538 541921367384 812882051076 1083842734768 1625764102152 2167685469536 3251528204304 4335370939072 6503056408608 13006112817216