Search a number
-
+
67799818426401 = 3341304912008673
BaseRepresentation
bin11110110101001111000000…
…00101111101100000100001
322220001121011220211100012000
433122213200011331200201
532341313012004121101
6400110450120354213
720165242463566605
oct1732474005754041
9286047156740160
1067799818426401
111a66a817a67216
127730086015969
132baa65964b289
1412a5758b4b505
157c8967679486
hex3da9e017d821

67799818426401 has 32 divisors (see below), whose sum is σ = 102897459181440. Its totient is φ = 44095974681600.

The previous prime is 67799818426391. The next prime is 67799818426421. The reversal of 67799818426401 is 10462481899776.

67799818426401 is a `hidden beast` number, since 6 + 7 + 79 + 98 + 1 + 8 + 426 + 40 + 1 = 666.

It is not a de Polignac number, because 67799818426401 - 217 = 67799818295329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67799818426401.

It is not an unprimeable number, because it can be changed into a prime (67799818426421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32749201 + ... + 34757873.

It is an arithmetic number, because the mean of its divisors is an integer number (3215545599420).

Almost surely, 267799818426401 is an apocalyptic number.

It is an amenable number.

67799818426401 is a deficient number, since it is larger than the sum of its proper divisors (35097640755039).

67799818426401 is a wasteful number, since it uses less digits than its factorization.

67799818426401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039214 (or 2039208 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 67799818426401 in words is "sixty-seven trillion, seven hundred ninety-nine billion, eight hundred eighteen million, four hundred twenty-six thousand, four hundred one".

Divisors: 1 3 9 27 41 123 369 1107 30491 91473 274419 823257 1250131 2008673 3750393 6026019 11251179 18078057 33753537 54234171 82355593 247066779 741200337 2223601011 61246448443 183739345329 551218035987 1653654107961 2511104386163 7533313158489 22599939475467 67799818426401