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45095009505 = 35713591274409
BaseRepresentation
bin101001111111110111…
…110011110011100001
311022101202012211121020
4221333313303303201
51214323310301010
632414422320053
73154332153630
oct517767636341
9138352184536
1045095009505
1118140a590a7
1288a6289029
1343387c82a0
14227b121517
15128de59470
hexa7fdf3ce1

45095009505 has 128 divisors (see below), whose sum is σ = 91039334400. Its totient is φ = 18555070464.

The previous prime is 45095009473. The next prime is 45095009513. The reversal of 45095009505 is 50590059054.

It is not a de Polignac number, because 45095009505 - 25 = 45095009473 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10225741 + ... + 10230149.

It is an arithmetic number, because the mean of its divisors is an integer number (711244800).

Almost surely, 245095009505 is an apocalyptic number.

It is an amenable number.

45095009505 is an abundant number, since it is smaller than the sum of its proper divisors (45944324895).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45095009505 is a wasteful number, since it uses less digits than its factorization.

45095009505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623.

The product of its (nonzero) digits is 202500, while the sum is 42.

The spelling of 45095009505 in words is "forty-five billion, ninety-five million, nine thousand, five hundred five".

Divisors: 1 3 5 7 13 15 21 35 39 59 65 91 105 127 177 195 273 295 381 413 455 635 767 885 889 1239 1365 1651 1905 2065 2301 2667 3835 4409 4445 4953 5369 6195 7493 8255 11505 11557 13227 13335 16107 22045 22479 24765 26845 30863 34671 37465 52451 57317 57785 66135 80535 92589 97409 112395 154315 157353 171951 173355 260131 262255 286585 292227 401219 462945 487045 559943 681863 780393 786765 859755 1203657 1300655 1461135 1679829 1820917 2006095 2045589 2799715 3381703 3409315 3901965 3919601 5462751 6018285 7279259 8399145 9104585 10145109 10227945 11758803 16908515 19598005 21837777 23671921 27313755 33036637 36396295 50725545 50954813 58794015 71015763 99109911 109188885 118359605 152864439 165183185 231256459 254774065 355078815 429476281 495549555 693769377 764322195 1156282295 1288428843 2147381405 3006333967 3468846885 6442144215 9019001901 15031669835 45095009505