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82140590719341 = 32721116932712991
BaseRepresentation
bin10010101011010011011000…
…101110110100000101101101
3101202211120012222221101221100
4102223103120232310011231
541231242412211004331
6450410511052353313
723205314261041500
oct2253233056640555
9352746188841840
1082140590719341
11241996a1073270
129267491775839
1336aaa94484b3b
14163d8a92c1137
159769ea420ae6
hex4ab4d8bb416d

82140590719341 has 36 divisors (see below), whose sum is σ = 150565683924864. Its totient is φ = 42670436734800.

The previous prime is 82140590719307. The next prime is 82140590719349. The reversal of 82140590719341 is 14391709504128.

82140590719341 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 0 + 590 + 7 + 1 + 9 + 3 + 41 = 666.

It is not a de Polignac number, because 82140590719341 - 230 = 82139516977517 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82140590719349) 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, 8466351645 + ... + 8466361346.

It is an arithmetic number, because the mean of its divisors is an integer number (4182380109024).

Almost surely, 282140590719341 is an apocalyptic number.

It is an amenable number.

82140590719341 is a deficient number, since it is larger than the sum of its proper divisors (68425093205523).

82140590719341 is a wasteful number, since it uses less digits than its factorization.

82140590719341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16932713022 (or 16932713012 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 82140590719341 in words is "eighty-two trillion, one hundred forty billion, five hundred ninety million, seven hundred nineteen thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 147 231 441 539 693 1617 4851 16932712991 50798138973 118528990937 152394416919 186259842901 355586972811 558779528703 829702936559 1066760918433 1303818900307 1676338586109 2489108809677 3911456700921 7467326429031 9126732302149 11734370102763 27380196906447 82140590719341