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67414868409231 = 3271318219949487
BaseRepresentation
bin11110101010000001111110…
…10010001011101110001111
322211200210120002110022102200
433111000333102023232033
532314011122303043411
6355213544001452543
720125364166461550
oct1725007722135617
9284623502408380
1067414868409231
111a531537795762
127689553041153
132b8026c009625
141290c7b6a0327
157bd937169e56
hex3d503f48bb8f

67414868409231 has 48 divisors (see below), whose sum is σ = 112274161579008. Its totient is φ = 38182147473600.

The previous prime is 67414868409227. The next prime is 67414868409269. The reversal of 67414868409231 is 13290486841476.

67414868409231 is a `hidden beast` number, since 6 + 7 + 4 + 148 + 68 + 409 + 23 + 1 = 666.

It is not a de Polignac number, because 67414868409231 - 22 = 67414868409227 is a prime.

It is a super-2 number, since 2×674148684092312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67414868405231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800970 + ... + 11750456.

It is an arithmetic number, because the mean of its divisors is an integer number (2339045032896).

Almost surely, 267414868409231 is an apocalyptic number.

67414868409231 is a deficient number, since it is larger than the sum of its proper divisors (44859293169777).

67414868409231 is a wasteful number, since it uses less digits than its factorization.

67414868409231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950452 (or 9950449 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 67414868409231 in words is "sixty-seven trillion, four hundred fourteen billion, eight hundred sixty-eight million, four hundred nine thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 63 131 393 821 917 1179 2463 2751 5747 7389 8253 17241 51723 107551 322653 752857 967959 2258571 6775713 9949487 29848461 69646409 89545383 208939227 626817681 1303382797 3910148391 8168528827 9123679579 11730445173 24505586481 27371038737 57179701789 73516759443 82113116211 171539105367 514617316101 1070077276337 3210231829011 7490540934359 9630695487033 22471622803077 67414868409231