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8495073405 = 3257213595023
BaseRepresentation
bin1111110100101100…
…01000100001111101
3210221000222102221100
413322112020201331
5114344214322110
63522542523313
7420341634600
oct77226104175
923830872840
108495073405
11366a27a425
121790b96539
13a54c91970
145a833a337
1534abddbc0
hex1fa58887d

8495073405 has 144 divisors (see below), whose sum is σ = 18762831360. Its totient is φ = 3523274496.

The previous prime is 8495073371. The next prime is 8495073409. The reversal of 8495073405 is 5043705948.

It is not a de Polignac number, because 8495073405 - 29 = 8495072893 is a prime.

It is a super-3 number, since 3×84950734053 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8495073409) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1688724 + ... + 1693746.

It is an arithmetic number, because the mean of its divisors is an integer number (130297440).

Almost surely, 28495073405 is an apocalyptic number.

It is an amenable number.

8495073405 is an abundant number, since it is smaller than the sum of its proper divisors (10267757955).

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

8495073405 is a wasteful number, since it uses less digits than its factorization.

8495073405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 8495073405 is about 92168.7224876205. The cubic root of 8495073405 is about 2040.4331872752.

The spelling of 8495073405 in words is "eight billion, four hundred ninety-five million, seventy-three thousand, four hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 59 63 65 91 105 117 147 177 195 245 273 295 315 413 441 455 531 585 637 735 767 819 885 1239 1365 1911 2065 2205 2301 2655 2891 3185 3717 3835 4095 5023 5369 5733 6195 6903 8673 9555 11505 14455 15069 16107 18585 25115 26019 26845 28665 34515 35161 37583 43365 45207 48321 65299 75345 80535 105483 112749 130095 175805 187915 195897 226035 241605 246127 296357 316449 326495 338247 457093 527415 563745 587691 738381 889071 979485 1230635 1371279 1481785 1582245 1691235 2074499 2215143 2285465 2667213 2938455 3199651 3691905 3852641 4113837 4445355 6223497 6856395 9598953 10372495 11075715 11557923 13336065 14521493 15998255 18670491 19263205 20569185 26968487 28796859 31117485 34673769 43564479 47994765 57789615 72607465 80905461 93352455 130693437 134842435 143984295 173368845 188779409 217822395 242716383 404527305 566338227 653467185 943897045 1213581915 1699014681 2831691135 8495073405