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38716059061729 = 72672132672
BaseRepresentation
bin10001100110110010010001…
…11100101000110111100001
312002002012220201112102100101
420303121020330220313201
520033310442104433404
6214201524554022401
711104100015121100
oct1063311074506741
9162065821472311
1038716059061729
1111377430018725
124413521a17a01
13187aba756541a
1497bc1da78037
15472160aa72a4
hex233648f28de1

38716059061729 has 27 divisors (see below), whose sum is σ = 45722722154193. Its totient is φ = 32687428085928.

The previous prime is 38716059061711. The next prime is 38716059061733. The reversal of 38716059061729 is 92716095061783.

The square root of 38716059061729 is 6222223.

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

It is not a de Polignac number, because 38716059061729 - 25 = 38716059061697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38716059067729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2918215954 + ... + 2918229220.

It is an arithmetic number, because the mean of its divisors is an integer number (1693434153859).

Almost surely, 238716059061729 is an apocalyptic number.

38716059061729 is the 6222223-rd square number.

38716059061729 is the 3111112-nd centered octagonal number.

It is an amenable number.

38716059061729 is a deficient number, since it is larger than the sum of its proper divisors (7006663092464).

38716059061729 is an frugal number, since it uses more digits than its factorization.

38716059061729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26682 (or 13341 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

It can be divided in two parts, 3871 and 6059061729, that added together give a square (6059065600 = 778402).

The spelling of 38716059061729 in words is "thirty-eight trillion, seven hundred sixteen billion, fifty-nine million, sixty-one thousand, seven hundred twenty-nine".

Divisors: 1 7 49 67 469 3283 4489 13267 31423 92869 219961 650083 888889 6222223 43555561 59555563 176013289 416888941 1232093023 2918222587 8624651161 11792890363 82550232541 577851627787 790123654321 5530865580247 38716059061729