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67421681145 = 32571319186201
BaseRepresentation
bin111110110010101001…
…010011010111111001
320110000201210021022200
4332302221103113321
52101034422244040
650550104340413
74604525556030
oct766251232771
9213021707280
1067421681145
1126658865a45
1211097474709
1364862260b0
143398419717
151b490b4630
hexfb2a535f9

67421681145 has 96 divisors (see below), whose sum is σ = 144587649024. Its totient is φ = 28301184000.

The previous prime is 67421681141. The next prime is 67421681149. The reversal of 67421681145 is 54118612476.

67421681145 is a `hidden beast` number, since 6 + 7 + 421 + 6 + 81 + 145 = 666.

It is an interprime number because it is at equal distance from previous prime (67421681141) and next prime (67421681149).

It is not a de Polignac number, because 67421681145 - 22 = 67421681141 is a prime.

It is a super-2 number, since 2×674216811452 (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 67421681145.

It is not an unprimeable number, because it can be changed into a prime (67421681141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 739045 + ... + 825245.

It is an arithmetic number, because the mean of its divisors is an integer number (1506121344).

Almost surely, 267421681145 is an apocalyptic number.

67421681145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67421681145 is an abundant number, since it is smaller than the sum of its proper divisors (77165967879).

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

67421681145 is a wasteful number, since it uses less digits than its factorization.

67421681145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86423 (or 86420 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 67421681145 in words is "sixty-seven billion, four hundred twenty-one million, six hundred eighty-one thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 191 195 273 315 455 573 585 819 955 1337 1365 1719 2483 2865 4011 4095 6685 7449 8595 12033 12415 17381 20055 22347 37245 52143 60165 86201 86905 111735 156429 258603 260715 431005 603407 775809 782145 1120613 1293015 1810221 3017035 3361839 3879045 5430663 5603065 7844291 9051105 10085517 16464391 16809195 23532873 27153315 39221455 49393173 50427585 70598619 82321955 115250737 117664365 148179519 214037083 246965865 345752211 352993095 576253685 642111249 740897595 1037256633 1070185415 1498259581 1728761055 1926333747 3210556245 4494778743 5186283165 7491297905 9631668735 13484336229 22473893715 67421681145