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81553462327128 = 233112278969151729
BaseRepresentation
bin10010100010110000100101…
…001001101111011101011000
3101200202102202000021202220110
4102202300211021233131120
541142132442323432003
6445241050545324320
723115020552045001
oct2242604511573530
9350672660252813
1081553462327128
1123a926a1431160
1291917356366a0
1336675c64245cc
14161d2cc7041a8
159665d55e2a03
hex4a2c2526f758

81553462327128 has 128 divisors (see below), whose sum is σ = 223424731296000. Its totient is φ = 24601396408320.

The previous prime is 81553462327037. The next prime is 81553462327159. The reversal of 81553462327128 is 82172326435518.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537418368 + ... + 537570096.

It is an arithmetic number, because the mean of its divisors is an integer number (1745505713250).

Almost surely, 281553462327128 is an apocalyptic number.

81553462327128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81553462327128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111712365648000).

81553462327128 is an abundant number, since it is smaller than the sum of its proper divisors (141871268968872).

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

81553462327128 is a wasteful number, since it uses less digits than its factorization.

81553462327128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160945 (or 160941 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 57.

The spelling of 81553462327128 in words is "eighty-one trillion, five hundred fifty-three billion, four hundred sixty-two million, three hundred twenty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 227 264 454 681 908 1362 1816 2497 2724 4994 5448 7491 8969 9988 14982 17938 19976 26907 29964 35876 53814 59928 71752 98659 107628 151729 197318 215256 295977 303458 394636 455187 591954 606916 789272 910374 1183908 1213832 1669019 1820748 2035963 2367816 3338038 3641496 4071926 5007057 6107889 6676076 8143852 10014114 12215778 13352152 16287704 20028228 22395593 24431556 34442483 40056456 44791186 48863112 67186779 68884966 89582372 103327449 134373558 137769932 179164744 206654898 268747116 275539864 378867313 413309796 537494232 757734626 826619592 1136601939 1360857401 1515469252 2273203878 2721714802 3030938504 4082572203 4546407756 5443429604 8165144406 9092815512 10886859208 14969431411 16330288812 29938862822 32660577624 44908294233 59877725644 89816588466 119755451288 179633176932 308914630027 359266353864 617829260054 926743890081 1235658520108 1853487780162 2471317040216 3398060930297 3706975560324 6796121860594 7413951120648 10194182790891 13592243721188 20388365581782 27184487442376 40776731163564 81553462327128