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81361457320 = 235111352327197
BaseRepresentation
bin100101111000110000…
…1010101000010101000
321210000012221021100011
41023301201111002220
52313112013113240
6101213230221304
75610132655633
oct1136141250250
9253005837304
1081361457320
1131561470120
1213927954834
13789820a170
143d1b8d6c1a
1521b2c9d6ea
hex12f18550a8

81361457320 has 128 divisors (see below), whose sum is σ = 215486490240. Its totient is φ = 27256919040.

The previous prime is 81361457311. The next prime is 81361457321. The reversal of 81361457320 is 2375416318.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (81361457321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2977962 + ... + 3005158.

It is an arithmetic number, because the mean of its divisors is an integer number (1683488205).

Almost surely, 281361457320 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 81361457320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107743245120).

81361457320 is an abundant number, since it is smaller than the sum of its proper divisors (134125032920).

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

81361457320 is a wasteful number, since it uses less digits than its factorization.

81361457320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27755 (or 27751 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 81361457320 in words is "eighty-one billion, three hundred sixty-one million, four hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 523 572 715 1046 1144 1430 2092 2615 2860 4184 5230 5720 5753 6799 10460 11506 13598 20920 23012 27196 27197 28765 33995 46024 54392 54394 57530 67990 74789 108788 115060 135980 135985 149578 217576 230120 271960 271970 299156 299167 353561 373945 543940 598312 598334 707122 747890 1087880 1196668 1414244 1495780 1495835 1767805 2393336 2828488 2991560 2991670 3535610 3889171 5983340 7071220 7778342 11966680 14142440 14224031 15556684 19445855 28448062 31113368 38891710 56896124 71120155 77783420 113792248 142240310 155566840 156464341 184912403 284480620 312928682 369824806 568961240 625857364 739649612 782321705 924562015 1251714728 1479299224 1564643410 1849124030 2034036433 3129286820 3698248060 4068072866 6258573640 7396496120 8136145732 10170182165 16272291464 20340364330 40680728660 81361457320