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71866880255331 = 36727128336541
BaseRepresentation
bin10000010101110011001111…
…110111100110010101100011
3100102110101222110011221000000
4100111303033313212111203
533404431332321132311
6412503104454231043
721065132201002200
oct2025631767462543
9312411873157000
1071866880255331
112099863337a4a7
128088348955483
13311402cc47395
1413a6538792ca7
15849650d16056
hex415ccfde6563

71866880255331 has 84 divisors (see below), whose sum is σ = 127108433026224. Its totient is φ = 40488381813600.

The previous prime is 71866880255309. The next prime is 71866880255363. The reversal of 71866880255331 is 13355208866817.

71866880255331 is a `hidden beast` number, since 7 + 18 + 6 + 6 + 8 + 80 + 2 + 5 + 533 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-71866880255331 is a prime.

It is a super-2 number, since 2×718668802553312 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (71866880255431) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11632080 + ... + 16704461.

Almost surely, 271866880255331 is an apocalyptic number.

71866880255331 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

71866880255331 is a deficient number, since it is larger than the sum of its proper divisors (55241552770893).

71866880255331 is an equidigital number, since it uses as much as digits as its factorization.

71866880255331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28336644 (or 28336622 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 71866880255331 in words is "seventy-one trillion, eight hundred sixty-six billion, eight hundred eighty million, two hundred fifty-five thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 71 81 147 189 213 243 441 497 567 639 729 1323 1491 1701 1917 3479 3969 4473 5103 5751 10437 11907 13419 17253 31311 35721 40257 51759 93933 120771 281799 362313 845397 2536191 28336541 85009623 198355787 255028869 595067361 765086607 1388490509 1785202083 2011894411 2295259821 4165471527 5355606249 6035683233 6885779463 12496414581 14083260877 16066818747 18107049699 20657338389 37489243743 42249782631 48200456241 54321149097 98582826139 112467731229 126749347893 144601368723 162963447291 295748478417 337403193687 380248043679 488890341873 887245435251 1012209581061 1140744131037 1466671025619 2661736305753 3422232393111 7985208917259 10266697179333 23955626751777 71866880255331