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86401313035401 = 37131719979840019
BaseRepresentation
bin10011101001010011011111…
…100100100101010010001001
3102022220212220001200001110210
4103221103133210211102021
542311044342114113101
6503432114254431333
724125201040134220
oct2351233744452211
9368825801601423
1086401313035401
1125591655804911
1298351a0b02549
1339297bb880670
141749bbb09bcb7
159ec76a6d27d6
hex4e94df925489

86401313035401 has 64 divisors (see below), whose sum is σ = 158028598425600. Its totient is φ = 40635925226496.

The previous prime is 86401313035391. The next prime is 86401313035417. The reversal of 86401313035401 is 10453031310468.

It is not a de Polignac number, because 86401313035401 - 25 = 86401313035369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 86401313035401.

It is not an unprimeable number, because it can be changed into a prime (86401313031401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489831831 + ... + 490008188.

It is an arithmetic number, because the mean of its divisors is an integer number (2469196850400).

Almost surely, 286401313035401 is an apocalyptic number.

It is an amenable number.

86401313035401 is a deficient number, since it is larger than the sum of its proper divisors (71627285390199).

86401313035401 is a wasteful number, since it uses less digits than its factorization.

86401313035401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979840078.

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 86401313035401 its reverse (10453031310468), we get a palindrome (96854344345869).

The spelling of 86401313035401 in words is "eighty-six trillion, four hundred one billion, three hundred thirteen million, thirty-five thousand, four hundred one".

Divisors: 1 3 7 13 17 19 21 39 51 57 91 119 133 221 247 273 323 357 399 663 741 969 1547 1729 2261 4199 4641 5187 6783 12597 29393 88179 979840019 2939520057 6858880133 12737920247 16657280323 18616960361 20576640399 38213760741 49971840969 55850881083 89165441729 116600962261 130318722527 216544644199 242020484693 267496325187 316488326137 349802886783 390956167581 649633932597 726061454079 949464978411 1515812509393 1694143392851 2215418282959 4114348239781 4547437528179 5082430178553 6646254848877 12343044719343 28800437678467 86401313035401