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67434334401 = 3717674676037
BaseRepresentation
bin111110110011011001…
…100100100011000001
320110001121121010022210
4332303121210203001
52101101142200101
650551235452333
74605041246010
oct766331444301
9213047533283
1067434334401
1126664a18585
121109b7570a9
136488a36525
143399d90a77
151b4a2637d6
hexfb36648c1

67434334401 has 64 divisors (see below), whose sum is σ = 110680307712. Its totient is φ = 35643497472.

The previous prime is 67434334393. The next prime is 67434334421. The reversal of 67434334401 is 10443343476.

67434334401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 67434334401 - 23 = 67434334393 is a prime.

It is a super-2 number, since 2×674343344012 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67434334401.

It is not an unprimeable number, because it can be changed into a prime (67434334421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11167155 + ... + 11173191.

It is an arithmetic number, because the mean of its divisors is an integer number (1729379808).

Almost surely, 267434334401 is an apocalyptic number.

It is an amenable number.

67434334401 is a deficient number, since it is larger than the sum of its proper divisors (43245973311).

67434334401 is a wasteful number, since it uses less digits than its factorization.

67434334401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6598.

The product of its (nonzero) digits is 290304, while the sum is 39.

Adding to 67434334401 its reverse (10443343476), we get a palindrome (77877677877).

The spelling of 67434334401 in words is "sixty-seven billion, four hundred thirty-four million, three hundred thirty-four thousand, four hundred one".

Divisors: 1 3 7 17 21 51 67 119 201 357 467 469 1139 1401 1407 3269 3417 6037 7939 7973 9807 18111 23817 23919 31289 42259 55573 93867 102629 126777 166719 219023 307887 404479 531913 657069 718403 1213437 1595739 2155209 2819279 2831353 3723391 6876143 8457837 8494059 11170173 19734953 20628429 47927743 48133001 59204859 143783229 144399003 188891693 335494201 566675079 1006482603 1322241851 3211158781 3966725553 9633476343 22478111467 67434334401