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129534029105 = 5132534576329
BaseRepresentation
bin111100010100011010…
…1000110110100110001
3110101100110010110201112
41320220311012310301
54110241202412410
6135301311443105
712233655036425
oct1705065066461
9411313113645
10129534029105
114aa31645318
1221130826495
13c2a44a5600
1463ab650b85
153581ebd105
hex1e28d46d31

129534029105 has 48 divisors (see below), whose sum is σ = 171895808880. Its totient is φ = 93630910464.

The previous prime is 129534029071. The next prime is 129534029113. The reversal of 129534029105 is 501920435921.

It can be written as a sum of positive squares in 24 ways, for example, as 65298647296 + 64235381809 = 255536^2 + 253447^2 .

It is not a de Polignac number, because 129534029105 - 226 = 129466920241 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20463581 + ... + 20469909.

It is an arithmetic number, because the mean of its divisors is an integer number (3581162685).

Almost surely, 2129534029105 is an apocalyptic number.

It is an amenable number.

129534029105 is a deficient number, since it is larger than the sum of its proper divisors (42361779775).

129534029105 is a wasteful number, since it uses less digits than its factorization.

129534029105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6870 (or 6857 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

The spelling of 129534029105 in words is "one hundred twenty-nine billion, five hundred thirty-four million, twenty-nine thousand, one hundred five".

Divisors: 1 5 13 53 65 169 265 457 689 845 2285 3445 5941 6329 8957 24221 29705 31645 44785 77233 82277 121105 314873 335437 386165 411385 1069601 1574365 1677185 2892353 4093349 4360681 5348005 14461765 20466745 21803405 37600589 56688853 153294709 188002945 283444265 488807657 766473545 1992831217 2444038285 9964156085 25906805821 129534029105