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135256310605 = 513174117317257
BaseRepresentation
bin111110111110111100…
…1111000001101001101
3110221010020121111020101
41331331321320031031
54204001103414410
6142045204051101
712525530446033
oct1757571701515
9427106544211
10135256310605
11523a8730089
1222269093a91
13c9a6b752b0
14679160a553
1537b9548d3a
hex1f7de7834d

135256310605 has 64 divisors (see below), whose sum is σ = 190695653568. Its totient is φ = 91177943040.

The previous prime is 135256310597. The next prime is 135256310617. The reversal of 135256310605 is 506013652531.

It can be written as a sum of positive squares in 32 ways, for example, as 121563098281 + 13693212324 = 348659^2 + 117018^2 .

It is not a de Polignac number, because 135256310605 - 23 = 135256310597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7829137 + ... + 7846393.

It is an arithmetic number, because the mean of its divisors is an integer number (2979619587).

Almost surely, 2135256310605 is an apocalyptic number.

It is an amenable number.

135256310605 is a deficient number, since it is larger than the sum of its proper divisors (55439342963).

135256310605 is a wasteful number, since it uses less digits than its factorization.

135256310605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17506.

The product of its (nonzero) digits is 81000, while the sum is 37.

The spelling of 135256310605 in words is "one hundred thirty-five billion, two hundred fifty-six million, three hundred ten thousand, six hundred five".

Divisors: 1 5 13 17 41 65 85 173 205 221 533 697 865 1105 2249 2665 2941 3485 7093 9061 11245 14705 17257 35465 38233 45305 86285 92209 120581 191165 224341 293369 461045 602905 707537 1121705 1466845 1567553 2985461 3537685 3813797 7837765 9197981 12028129 14927305 19068985 38810993 45989905 50752837 60140645 122403901 156365677 194054965 253764185 612019505 659786881 781828385 1591250713 2080866317 3298934405 7956253565 10404331585 27051262121 135256310605