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86340923325 = 3452315325951
BaseRepresentation
bin101000001101001010…
…0011110111110111101
322020212020200100120000
41100122110132332331
52403311234021300
6103355305344513
76144415511346
oct1203224367675
9266766610500
1086340923325
1133687222688
1214897498139
1381aca29557
144270d710cd
1523a4eeac00
hex141a51efbd

86340923325 has 120 divisors (see below), whose sum is σ = 168213805056. Its totient is φ = 43720560000.

The previous prime is 86340923323. The next prime is 86340923363. The reversal of 86340923325 is 52332904368.

86340923325 is a `hidden beast` number, since 8 + 6 + 3 + 409 + 233 + 2 + 5 = 666.

It is not a de Polignac number, because 86340923325 - 21 = 86340923323 is a prime.

It is a super-3 number, since 3×863409233253 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (86340923323) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3314100 + ... + 3340050.

Almost surely, 286340923325 is an apocalyptic number.

It is an amenable number.

86340923325 is a deficient number, since it is larger than the sum of its proper divisors (81872881731).

86340923325 is a wasteful number, since it uses less digits than its factorization.

86340923325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26057 (or 26043 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 86340923325 in words is "eighty-six billion, three hundred forty million, nine hundred twenty-three thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 31 45 53 75 81 93 135 155 159 225 265 279 405 465 477 675 775 795 837 1325 1395 1431 1643 2025 2325 2385 2511 3975 4185 4293 4929 6975 7155 8215 11925 12555 14787 20925 21465 24645 25951 35775 41075 44361 62775 73935 77853 107325 123225 129755 133083 221805 233559 369675 389265 648775 665415 700677 804481 1109025 1167795 1375403 1946325 2102031 2413443 3327075 3503385 4022405 4126209 5838975 6877015 7240329 10510155 12067215 12378627 17516925 20112025 20631045 21720987 34385075 36201645 37135881 42637493 52550775 60336075 61893135 65162961 103155225 108604935 111407643 127912479 181008225 185679405 213187465 309465675 325814805 383737437 543024675 557038215 639562395 928397025 1065937325 1151212311 1629074025 1918687185 2785191075 3197811975 3453636933 5756061555 9593435925 17268184665 28780307775 86340923325