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138105202801489 = 74112218032
BaseRepresentation
bin11111011001101100011111…
…100011011111101101010001
3200002222201200001000201210021
4133121230133203133231101
5121100203423404121424
61205420353155103441
741042525445610000
oct3731543743375521
9602881601021707
10138105202801489
11400060a664a300
12135a5868ba1b81
135c0a359842b31
142616482870c37
1510e76773ae4e4
hex7d9b1f8dfb51

138105202801489 has 45 divisors (see below), whose sum is σ = 177099436298729. Its totient is φ = 107609507978280.

The previous prime is 138105202801469. The next prime is 138105202801541. The reversal of 138105202801489 is 984108202501831.

The square root of 138105202801489 is 11751817.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2k-138105202801489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138105202801429) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6334218462 + ... + 6334240264.

Almost surely, 2138105202801489 is an apocalyptic number.

138105202801489 is the 11751817-th square number.

138105202801489 is the 5875909-th centered octagonal number.

It is an amenable number.

138105202801489 is a deficient number, since it is larger than the sum of its proper divisors (38994233497240).

138105202801489 is an frugal number, since it uses more digits than its factorization.

138105202801489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43656 (or 21821 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 52.

The spelling of 138105202801489 in words is "one hundred thirty-eight trillion, one hundred five billion, two hundred two million, eight hundred one thousand, four hundred eighty-nine".

Divisors: 1 7 11 49 77 121 343 539 847 2401 3773 5929 21803 26411 41503 152621 239833 290521 1068347 1678831 2638163 7478429 11751817 18467141 52349003 82262719 129269987 475370809 575839033 904889909 3327595663 5229078899 6334229363 23293169641 36603552293 57519867889 163052187487 256224866051 402639075223 1141365312409 1793574062357 2818473526561 12555018436499 19729314685927 138105202801489