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82585312460382 = 23131463291777797
BaseRepresentation
bin10010110001110001100100…
…001101100111111001011110
3101211102002010102100121110110
4102301301210031213321132
541311034204442213012
6451351100242550450
723252410013341254
oct2261614415477136
9354362112317413
1082585312460382
1124350263986626
129319706068426
1337109b9179234
141657216b9c5d4
159833780e073c
hex4b1c64367e5e

82585312460382 has 64 divisors (see below), whose sum is σ = 166850256190464. Its totient is φ = 27249598696320.

The previous prime is 82585312460359. The next prime is 82585312460479. The reversal of 82585312460382 is 28306421358528.

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, 1061509908 + ... + 1061587704.

It is an arithmetic number, because the mean of its divisors is an integer number (2607035252976).

Almost surely, 282585312460382 is an apocalyptic number.

82585312460382 is an abundant number, since it is smaller than the sum of its proper divisors (84264943730082).

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

82585312460382 is a wasteful number, since it uses less digits than its factorization.

82585312460382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81313.

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 82585312460382 in words is "eighty-two trillion, five hundred eighty-five billion, three hundred twelve million, four hundred sixty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 131 262 393 463 786 926 1389 2778 2917 5834 8751 17502 60653 77797 121306 155594 181959 233391 363918 382127 466782 764254 1146381 1350571 2292762 2701142 4051713 8103426 10191407 20382814 30574221 36020011 61148442 72040022 108060033 176924801 216120066 226933849 353849602 453867698 530774403 680801547 1061548806 1361603094 4718621441 9437242882 14155864323 28311728646 29728334219 59456668438 89185002657 105070372087 178370005314 210140744174 315211116261 630422232522 13764218743397 27528437486794 41292656230191 82585312460382