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1314495573696 = 263411312717669
BaseRepresentation
bin10011001000001110000…
…010101010111011000000
311122122221110022220010000
4103020032002222323000
5133014041331324241
62443512042040000
7163653266010234
oct23101602527300
94578843286100
101314495573696
11467524534268
12192911aa9000
1396c5829b796
144789c7c45c4
15242d67e9eb6
hex1320e0aaec0

1314495573696 has 280 divisors, whose sum is σ = 3962237114880. Its totient is φ = 430843650048.

The previous prime is 1314495573673. The next prime is 1314495573779. The reversal of 1314495573696 is 6963755944131.

1314495573696 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 49 + 557 + 36 + 9 + 6 = 666.

It is a super-2 number, since 2×13144955736962 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74386750 + ... + 74404418.

Almost surely, 21314495573696 is an apocalyptic number.

1314495573696 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 1314495573696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981118557440).

1314495573696 is an abundant number, since it is smaller than the sum of its proper divisors (2647741541184).

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

1314495573696 is a wasteful number, since it uses less digits than its factorization.

1314495573696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17933 (or 17914 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 1314495573696 in words is "one trillion, three hundred fourteen billion, four hundred ninety-five million, five hundred seventy-three thousand, six hundred ninety-six".