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11640106292253 = 331789603136601
BaseRepresentation
bin1010100101100010110001…
…1001101001010000011101
31112012210011000120110212020
42221120230121221100131
53011202414202323003
640431220242530353
72310653453662155
oct251305431512035
945183130513766
1011640106292253
1137885a55aa48a
12137bb200669b9
1366587116b62a
142c3554175765
15152bbc507d53
hexa962c66941d

11640106292253 has 16 divisors (see below), whose sum is σ = 15569388893376. Its totient is φ = 7735448182400.

The previous prime is 11640106292249. The next prime is 11640106292257. The reversal of 11640106292253 is 35229260104611.

It is an interprime number because it is at equal distance from previous prime (11640106292249) and next prime (11640106292257).

It is a cyclic number.

It is not a de Polignac number, because 11640106292253 - 22 = 11640106292249 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640106292257) 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, 85144153 + ... + 85280753.

It is an arithmetic number, because the mean of its divisors is an integer number (973086805836).

Almost surely, 211640106292253 is an apocalyptic number.

It is an amenable number.

11640106292253 is a deficient number, since it is larger than the sum of its proper divisors (3929282601123).

11640106292253 is a wasteful number, since it uses less digits than its factorization.

11640106292253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226524.

The product of its (nonzero) digits is 155520, while the sum is 42.

Adding to 11640106292253 its reverse (35229260104611), we get a palindrome (46869366396864).

The spelling of 11640106292253 in words is "eleven trillion, six hundred forty billion, one hundred six million, two hundred ninety-two thousand, two hundred fifty-three".

Divisors: 1 3 317 951 89603 136601 268809 409803 28404151 43302517 85212453 129907551 12239859403 36719578209 3880035430751 11640106292253