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81917742438 = 232724112717837
BaseRepresentation
bin100110001001010101…
…1011000110101100110
321211102222200111001200
41030102223120311212
52320231420224223
6101344341303330
75626666215300
oct1142253306546
9254388614050
1081917742438
1131817480394
1213a62104b46
13795653b35c
143d71740970
1521e6a33a43
hex1312ad8d66

81917742438 has 144 divisors (see below), whose sum is σ = 213179226624. Its totient is φ = 22653146880.

The previous prime is 81917742409. The next prime is 81917742493. The reversal of 81917742438 is 83424771918.

81917742438 is a `hidden beast` number, since 8 + 19 + 177 + 424 + 38 = 666.

It is a super-2 number, since 2×819177424382 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4583656 + ... + 4601492.

It is an arithmetic number, because the mean of its divisors is an integer number (1480411296).

Almost surely, 281917742438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81917742438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106589613312).

81917742438 is an abundant number, since it is smaller than the sum of its proper divisors (131261484186).

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

81917742438 is a wasteful number, since it uses less digits than its factorization.

81917742438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18027 (or 18017 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 81917742438 in words is "eighty-one billion, nine hundred seventeen million, seven hundred forty-two thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 127 147 246 254 287 294 369 381 441 574 738 762 861 882 889 1143 1722 1778 2009 2286 2583 2667 4018 5166 5207 5334 6027 6223 8001 10414 12054 12446 15621 16002 17837 18081 18669 31242 35674 36162 36449 37338 46863 53511 56007 72898 93726 107022 109347 112014 124859 160533 218694 249718 255143 321066 328041 374577 510286 656082 731317 749154 765429 874013 1123731 1462634 1530858 1748026 2193951 2247462 2265299 2296287 2622039 4387902 4530598 4592574 5119219 5244078 6581853 6795897 7866117 10238438 13163706 13591794 15357657 15732234 15857093 20387691 30715314 31714186 35834533 40775382 46072971 47571279 71669066 92145942 92877259 95142558 107503599 110999651 142713837 185754518 215007198 221999302 278631777 285427674 322510797 332998953 557263554 645021594 650140813 665997906 835895331 998996859 1300281626 1671790662 1950422439 1997993718 3900844878 4550985691 5851267317 9101971382 11702534634 13652957073 27305914146 40958871219 81917742438