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1265113216 = 27711071301
BaseRepresentation
bin100101101101000…
…0001100010000000
310021011112102002001
41023122001202000
510042332110331
6325311433344
743231166503
oct11332014200
93234472061
101265113216
1159a13a314
122b3825854
13172141903
14c003d13a
15760ed561
hex4b681880

1265113216 has 64 divisors (see below), whose sum is σ = 2581709760. Its totient is φ = 617344000.

The previous prime is 1265113207. The next prime is 1265113217. The reversal of 1265113216 is 6123115621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12651132162 = 3201022898595725312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1265113217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971766 + ... + 973066.

It is an arithmetic number, because the mean of its divisors is an integer number (40339215).

Almost surely, 21265113216 is an apocalyptic number.

1265113216 is a gapful number since it is divisible by the number (16) 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 1265113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290854880).

1265113216 is an abundant number, since it is smaller than the sum of its proper divisors (1316596544).

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

1265113216 is a wasteful number, since it uses less digits than its factorization.

1265113216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1481 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 1265113216 is about 35568.4300468829. The cubic root of 1265113216 is about 1081.5413565418.

Adding to 1265113216 its reverse (6123115621), we get a palindrome (7388228837).

It can be divided in two parts, 1265 and 113216, that added together give a triangular number (114481 = T478).

The spelling of 1265113216 in words is "one billion, two hundred sixty-five million, one hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 71 107 128 142 214 284 428 568 856 1136 1301 1712 2272 2602 3424 4544 5204 6848 7597 9088 10408 13696 15194 20816 30388 41632 60776 83264 92371 121552 139207 166528 184742 243104 278414 369484 486208 556828 738968 972416 1113656 1477936 2227312 2955872 4454624 5911744 8909248 9883697 11823488 17818496 19767394 39534788 79069576 158139152 316278304 632556608 1265113216