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82963786455 = 325111631028243
BaseRepresentation
bin100110101000100000…
…1101110101011010111
321221010220000000200200
41031101001232223113
52324402212131310
6102040225511543
75664630356304
oct1152101565327
9257126000620
1082963786455
1132203992780
12140b44a25b3
137a9217a104
1440306360ab
1522587ac9c0
hex135106ead7

82963786455 has 48 divisors (see below), whose sum is σ = 157839566976. Its totient is φ = 39978048960.

The previous prime is 82963786439. The next prime is 82963786471. The reversal of 82963786455 is 55468736928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82963786439) and next prime (82963786471).

It is not a de Polignac number, because 82963786455 - 24 = 82963786439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82963786392 and 82963786401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433437 + ... + 594806.

It is an arithmetic number, because the mean of its divisors is an integer number (3288324312).

Almost surely, 282963786455 is an apocalyptic number.

82963786455 is a deficient number, since it is larger than the sum of its proper divisors (74875780521).

82963786455 is a wasteful number, since it uses less digits than its factorization.

82963786455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028428 (or 1028425 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 82963786455 in words is "eighty-two billion, nine hundred sixty-three million, seven hundred eighty-six thousand, four hundred fifty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 163 165 489 495 815 1467 1793 2445 5379 7335 8965 16137 26895 80685 1028243 3084729 5141215 9254187 11310673 15423645 33932019 46270935 56553365 101796057 167603609 169660095 502810827 508980285 838018045 1508432481 1843639699 2514054135 5530919097 7542162405 9218198495 16592757291 27654595485 82963786455