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11642106379 = 1719139349743
BaseRepresentation
bin10101101011110110…
…00111001000001011
31010001100200021121011
422311323013020023
5142320334401004
65203122424351
7561334162051
oct126573071013
933040607534
1011642106379
114a34735922
12230ab020b7
131136c76757
147c62981d1
15482128004
hex2b5ec720b

11642106379 has 32 divisors (see below), whose sum is σ = 13124160000. Its totient is φ = 10262536704.

The previous prime is 11642106367. The next prime is 11642106391. The reversal of 11642106379 is 97360124611.

It is an interprime number because it is at equal distance from previous prime (11642106367) and next prime (11642106391).

It is a cyclic number.

It is not a de Polignac number, because 11642106379 - 219 = 11641582091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11642106779) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15668682 + ... + 15669424.

It is an arithmetic number, because the mean of its divisors is an integer number (410130000).

Almost surely, 211642106379 is an apocalyptic number.

11642106379 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11642106379 is a deficient number, since it is larger than the sum of its proper divisors (1482053621).

11642106379 is a wasteful number, since it uses less digits than its factorization.

11642106379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267.

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 11642106379 in words is "eleven billion, six hundred forty-two million, one hundred six thousand, three hundred seventy-nine".

Divisors: 1 17 19 139 323 349 743 2363 2641 5933 6631 12631 14117 44897 48511 103277 112727 239989 259307 824687 921709 1755709 1962263 4408219 4926833 15669053 33358471 36043673 83756161 612742441 684829787 11642106379