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71999999999892 = 223223972616134267
BaseRepresentation
bin10000010111101111001110…
…011011000111111110010100
3100102221010120210110121121200
4100113233032123013332110
533414121444444444032
6413044202100312500
721110554056110556
oct2027571633077624
9312833523417550
1071999999999892
1120a3a034a66918
1280aa0ba3a2730
13312375626acc3
1413acb663154d6
1584cd429c347c
hex417bce6c7f94

71999999999892 has 144 divisors (see below), whose sum is σ = 191883843645312. Its totient is φ = 22718325104640.

The previous prime is 71999999999887. The next prime is 71999999999899. The reversal of 71999999999892 is 29899999999917.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71999999999899) 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, 2101129743 + ... + 2101164009.

Almost surely, 271999999999892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71999999999892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95941921822656).

71999999999892 is an abundant number, since it is smaller than the sum of its proper divisors (119883843645420).

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

71999999999892 is a wasteful number, since it uses less digits than its factorization.

71999999999892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60558 (or 60553 counting only the distinct ones).

The product of its digits is 390519852912, while the sum is 108.

The spelling of 71999999999892 in words is "seventy-one trillion, nine hundred ninety-nine billion, nine hundred ninety-nine million, nine hundred ninety-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 97 138 194 207 276 291 388 414 582 828 873 1164 1746 2231 3492 4462 6693 8924 13386 20079 26161 26772 34267 40158 52322 68534 78483 80316 102801 104644 137068 156966 205602 235449 308403 313932 411204 470898 601703 616806 788141 941796 1203406 1233612 1576282 1805109 2364423 2406812 2537617 3152564 3323899 3610218 4728846 5075234 5415327 6647798 7093269 7220436 7612851 9457692 9971697 10150468 10830654 13295596 14186538 15225702 19943394 21661308 22838553 28373076 29915091 30451404 39886788 45677106 58365191 59830182 76449677 91354212 116730382 119660364 152899354 175095573 229349031 233460764 305798708 350191146 458698062 525286719 688047093 700382292 896458987 917396124 1050573438 1376094186 1792917974 2101146876 2689376961 2752188372 3585835948 5378753922 8068130883 10757507844 16136261766 20618556701 32272523532 41237113402 61855670103 82474226804 86956521739 123711340206 173913043478 185567010309 247422680412 260869565217 347826086956 371134020618 521739130434 742268041236 782608695651 1043478260868 1565217391302 1999999999997 3130434782604 3999999999994 5999999999991 7999999999988 11999999999982 17999999999973 23999999999964 35999999999946 71999999999892