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71493114021336 = 23327541262202249
BaseRepresentation
bin10000010000010111001001…
…101010100100010111011000
3100101010200020001001221121100
4100100113021222210113120
533332320344142140321
6412015252210511400
721026131004303040
oct2020271152442730
9311120201057540
1071493114021336
1120864072052857
128027a17295560
1330b7a05629c07
1413923dc776720
1583ea7759a326
hex4105c9aa45d8

71493114021336 has 96 divisors (see below), whose sum is σ = 221697246420000. Its totient is φ = 20388846804480.

The previous prime is 71493114021313. The next prime is 71493114021451. The reversal of 71493114021336 is 63312041139417.

71493114021336 is a `hidden beast` number, since 7 + 1 + 493 + 1 + 140 + 2 + 13 + 3 + 6 = 666.

It is a super-3 number, since 3×714931140213363 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 71493114021291 and 71493114021300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130828461 + ... + 131373788.

It is an arithmetic number, because the mean of its divisors is an integer number (2309346316875).

Almost surely, 271493114021336 is an apocalyptic number.

It is an amenable number.

71493114021336 is an abundant number, since it is smaller than the sum of its proper divisors (150204132398664).

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

71493114021336 is a wasteful number, since it uses less digits than its factorization.

71493114021336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262202809 (or 262202802 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 71493114021336 in words is "seventy-one trillion, four hundred ninety-three billion, one hundred fourteen million, twenty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 541 1082 1623 2164 3246 3787 4328 4869 6492 7574 9738 11361 12984 15148 19476 22722 30296 34083 38952 45444 68166 90888 136332 272664 262202249 524404498 786606747 1048808996 1573213494 1835415743 2097617992 2359820241 3146426988 3670831486 4719640482 5506247229 6292853976 7341662972 9439280964 11012494458 14683325944 16518741687 18878561928 22024988916 33037483374 44049977832 66074966748 132149933496 141851416709 283702833418 425554250127 567405666836 851108500254 992959916963 1134811333672 1276662750381 1702217000508 1985919833926 2553325500762 2978879750889 3404434001016 3971839667852 5106651001524 5957759501778 7943679335704 8936639252667 10213302003048 11915519003556 17873278505334 23831038007112 35746557010668 71493114021336