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34121060757 = 3371719558931
BaseRepresentation
bin11111110001110001…
…100001000110010101
310021001221210110222000
4133301301201012111
51024334442421012
623401444425513
72315360142150
oct376161410625
9107057713860
1034121060757
111351a4a3a73
1267430a8299
1332aa0c24a4
1419198b2c97
15d4a813ddc
hex7f1c61195

34121060757 has 64 divisors (see below), whose sum is σ = 64388966400. Its totient is φ = 17384958720.

The previous prime is 34121060693. The next prime is 34121060767. The reversal of 34121060757 is 75706012143.

It is a happy number.

34121060757 is a `hidden beast` number, since 3 + 41 + 2 + 1 + 0 + 607 + 5 + 7 = 666.

It is not a de Polignac number, because 34121060757 - 26 = 34121060693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121060767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218419 + ... + 340512.

It is an arithmetic number, because the mean of its divisors is an integer number (1006077600).

Almost surely, 234121060757 is an apocalyptic number.

It is an amenable number.

34121060757 is a deficient number, since it is larger than the sum of its proper divisors (30267905643).

34121060757 is a wasteful number, since it uses less digits than its factorization.

34121060757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558983 (or 558977 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 34121060757 in words is "thirty-four billion, one hundred twenty-one million, sixty thousand, seven hundred fifty-seven".

Divisors: 1 3 7 9 17 19 21 27 51 57 63 119 133 153 171 189 323 357 399 459 513 969 1071 1197 2261 2907 3213 3591 6783 8721 20349 61047 558931 1676793 3912517 5030379 9501827 10619689 11737551 15091137 28505481 31859067 35212653 66512789 74337823 85516443 95577201 105637959 180534713 199538367 223013469 256549329 286731603 541604139 598615101 669040407 1263742991 1624812417 1795845303 2007121221 3791228973 4874437251 11373686919 34121060757