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59080108095 = 325113173239281
BaseRepresentation
bin110111000001011100…
…101110100000111111
312122111101122110021200
4313001130232200333
51431444001424340
643050243430543
74161026430051
oct670134564077
9178441573250
1059080108095
11230681a9718
12b549985453
135756cba658
142c066398d1
15180bae7330
hexdc172e83f

59080108095 has 96 divisors (see below), whose sum is σ = 104715037440. Its totient is φ = 30810071040.

The previous prime is 59080108093. The next prime is 59080108141.

59080108095 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 2430642-1.

It is not a de Polignac number, because 59080108095 - 21 = 59080108093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 59080108095.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59080108093) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210249355 + ... + 210249635.

It is an arithmetic number, because the mean of its divisors is an integer number (1090781640).

Almost surely, 259080108095 is an apocalyptic number.

59080108095 is a deficient number, since it is larger than the sum of its proper divisors (45634929345).

59080108095 is a wasteful number, since it uses less digits than its factorization.

59080108095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 59080108095 in words is "fifty-nine billion, eighty million, one hundred eight thousand, ninety-five".

Divisors: 1 3 5 9 15 45 113 173 239 281 339 519 565 717 843 865 1017 1195 1405 1557 1695 2151 2529 2595 3585 4215 5085 7785 10755 12645 19549 27007 31753 41347 48613 58647 67159 81021 95259 97745 124041 135035 145839 158765 175941 201477 206735 243063 243065 285777 293235 335795 372123 405105 437517 476295 604431 620205 729195 879705 1007385 1215315 1428885 1860615 2187585 3022155 4672211 5493269 7588967 11618507 14016633 16479807 22766901 23361055 27466345 34855521 37944835 42049899 49439421 58092535 68300703 70083165 82399035 104566563 113834505 174277605 210249495 247197105 341503515 522832815 1312891291 3938673873 6564456455 11816021619 19693369365 59080108095