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13758138127 = 193727976997
BaseRepresentation
bin11001101000000110…
…01000011100001111
31022111211100211110101
430310003020130033
5211134040410002
610153112351531
7664640146606
oct146403103417
938454324411
1013758138127
115920123898
1227bb6a55a7
1313b3488746
14947318a3d
15557caa587
hex3340c870f

13758138127 has 16 divisors (see below), whose sum is σ = 14881107040. Its totient is φ = 12675408768.

The previous prime is 13758138109. The next prime is 13758138151. The reversal of 13758138127 is 72183185731.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13758138127 is a prime.

It is a super-2 number, since 2×137581381272 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13758138157) 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, 1962793 + ... + 1969789.

It is an arithmetic number, because the mean of its divisors is an integer number (930069190).

Almost surely, 213758138127 is an apocalyptic number.

13758138127 is a deficient number, since it is larger than the sum of its proper divisors (1122968913).

13758138127 is a wasteful number, since it uses less digits than its factorization.

13758138127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850.

The product of its digits is 282240, while the sum is 46.

The spelling of 13758138127 in words is "thirteen billion, seven hundred fifty-eight million, one hundred thirty-eight thousand, one hundred twenty-seven".

Divisors: 1 19 37 703 2797 6997 53143 103489 132943 258889 1966291 4918891 19570609 371841571 724112533 13758138127