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81111362401758 = 23134122089296129
BaseRepresentation
bin10010011100010100110101…
…111100010111010111011110
3101122012011121022021121100110
4102130110311330113113132
541112412032233324013
6444302013453510450
723041050113506533
oct2234246574272736
9348164538247313
1081111362401758
1123932154563807
12911bb131a2426
1336349cb970b30
141605b4d106d8a
15959d5cbb22c3
hex49c535f175de

81111362401758 has 96 divisors (see below), whose sum is σ = 179152656328800. Its totient is φ = 24336888791040.

The previous prime is 81111362401723. The next prime is 81111362401859. The reversal of 81111362401758 is 85710426311118.

It is a super-2 number, since 2×811113624017582 (a number of 29 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 47 ways as a sum of consecutive naturals, for example, 273757438 + ... + 274053566.

It is an arithmetic number, because the mean of its divisors is an integer number (1866173503425).

Almost surely, 281111362401758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81111362401758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89576328164400).

81111362401758 is an abundant number, since it is smaller than the sum of its proper divisors (98041293927042).

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

81111362401758 is a wasteful number, since it uses less digits than its factorization.

81111362401758 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298318 (or 298277 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 48.

The spelling of 81111362401758 in words is "eighty-one trillion, one hundred eleven billion, three hundred sixty-two million, four hundred one thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1599 1681 2089 3198 3362 4178 5043 6267 10086 12534 21853 27157 43706 54314 65559 81471 85649 131118 162942 171298 256947 296129 513894 592258 888387 1113437 1776774 2226874 3340311 3511609 3849677 6680622 7023218 7699354 10534827 11549031 12141289 21069654 23098062 24282578 36423867 45650917 72847734 91301834 136952751 157836757 273905502 315673514 473510271 497792849 618613481 947020542 995585698 1237226962 1493378547 1855840443 2986757094 3711680886 6471307037 8041975253 12942614074 16083950506 19413921111 24125925759 25363152721 38827842222 48251851518 50726305442 76089458163 152178916326 329720985373 659441970746 989162956119 1039889261561 1978325912238 2079778523122 3119667784683 6239335569366 13518560400293 27037120800586 40555681200879 81111362401758