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81062711352 = 23327252343933
BaseRepresentation
bin100101101111110110…
…1101101000000111000
321202020101210101220200
41023133231231000320
52312004023230402
6101123435122200
75566544451300
oct1133755550070
9252211711820
1081062711352
1131418872927
12138638a3360
13784b35b0bc
143ccdd6c600
15219693b21c
hex12dfb6d038

81062711352 has 144 divisors (see below), whose sum is σ = 255883038840. Its totient is φ = 23115964032.

The previous prime is 81062711299. The next prime is 81062711357. The reversal of 81062711352 is 25311726018.

81062711352 is a `hidden beast` number, since 8 + 10 + 627 + 1 + 13 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81062711357) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1823178 + ... + 1867110.

Almost surely, 281062711352 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 81062711352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127941519420).

81062711352 is an abundant number, since it is smaller than the sum of its proper divisors (174820327488).

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

81062711352 is a wasteful number, since it uses less digits than its factorization.

81062711352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44482 (or 44468 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 81062711352 in words is "eighty-one billion, sixty-two million, seven hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 523 588 882 1046 1176 1569 1764 2092 3138 3528 3661 4184 4707 6276 7322 9414 10983 12552 14644 18828 21966 25627 29288 32949 37656 43932 43933 51254 65898 76881 87864 87866 102508 131796 131799 153762 175732 205016 230643 263592 263598 307524 307531 351464 395397 461286 527196 615048 615062 790794 922572 922593 1054392 1230124 1581588 1845144 1845186 2152717 2460248 2767779 3163176 3690372 4305434 5535558 6458151 7380744 8610868 11071116 12916302 17221736 19374453 22142232 22976959 25832604 38748906 45953918 51665208 68930877 77497812 91907836 137861754 154995624 160838713 183815672 206792631 275723508 321677426 413585262 482516139 551447016 643354852 827170524 965032278 1125870991 1286709704 1447548417 1654341048 1930064556 2251741982 2895096834 3377612973 3860129112 4503483964 5790193668 6755225946 9006967928 10132838919 11580387336 13510451892 20265677838 27020903784 40531355676 81062711352