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81348081468012 = 22327978733633101
BaseRepresentation
bin10010011111110001010011…
…011111111100001001101100
3101200000210121122222010100200
4102133301103133330021230
541130301332323434022
6445002443120553500
723064130202412042
oct2237612337741154
9350023548863320
1081348081468012
1123a13589280957
129159977a82890
1336511253a7638
1416133a7b40392
159610b4a84bac
hex49fc537fc26c

81348081468012 has 72 divisors (see below), whose sum is σ = 208259288677440. Its totient is φ = 26769378355200.

The previous prime is 81348081467987. The next prime is 81348081468037. The reversal of 81348081468012 is 21086418084318.

81348081468012 is a `hidden beast` number, since 8 + 1 + 3 + 480 + 8 + 146 + 8 + 0 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (81348081467987) and next prime (81348081468037).

It is a self number, because there is not a number n which added to its sum of digits gives 81348081468012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20574262 + ... + 24207362.

It is an arithmetic number, because the mean of its divisors is an integer number (2892490120520).

Almost surely, 281348081468012 is an apocalyptic number.

It is an amenable number.

81348081468012 is an abundant number, since it is smaller than the sum of its proper divisors (126911207209428).

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

81348081468012 is a wasteful number, since it uses less digits than its factorization.

81348081468012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641063 (or 3641058 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 81348081468012 in words is "eighty-one trillion, three hundred forty-eight billion, eighty-one million, four hundred sixty-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 7873 15746 23619 31492 47238 70857 94476 141714 283428 621967 1243934 1865901 2487868 3633101 3731802 5597703 7266202 7463604 10899303 11195406 14532404 21798606 22390812 32697909 43597212 65395818 130791636 287014979 574029958 861044937 1148059916 1722089874 2583134811 3444179748 5166269622 10332539244 28603404173 57206808346 85810212519 114413616692 171620425038 257430637557 343240850076 514861275114 1029722550228 2259668929667 4519337859334 6779006789001 9038675718668 13558013578002 20337020367003 27116027156004 40674040734006 81348081468012