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82965121503 = 31153229359577
BaseRepresentation
bin100110101000100011…
…0110100100111011111
321221010222111212000220
41031101012310213133
52324403032342003
6102040314252423
75664644616465
oct1152106644737
9257128455026
1082965121503
1132204714820
12140b4a27113
137a92526994
1440308a2835
152258973353
hex13511b49df

82965121503 has 64 divisors (see below), whose sum is σ = 124048972800. Its totient is φ = 48896040960.

The previous prime is 82965121493. The next prime is 82965121513. The reversal of 82965121503 is 30512156928.

It is an interprime number because it is at equal distance from previous prime (82965121493) and next prime (82965121513).

It is not a de Polignac number, because 82965121503 - 24 = 82965121487 is a prime.

It is a super-2 number, since 2×829651215032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82965121513) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143786751 + ... + 143787327.

It is an arithmetic number, because the mean of its divisors is an integer number (1938265200).

Almost surely, 282965121503 is an apocalyptic number.

82965121503 is a deficient number, since it is larger than the sum of its proper divisors (41083851297).

82965121503 is a wasteful number, since it uses less digits than its factorization.

82965121503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232.

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 82965121503 in words is "eighty-two billion, nine hundred sixty-five million, one hundred twenty-one thousand, five hundred three".

Divisors: 1 3 11 33 53 159 229 359 577 583 687 1077 1731 1749 2519 3949 6347 7557 11847 12137 19027 19041 30581 36411 57081 82211 91743 132133 133507 207143 209297 246633 336391 396399 400521 621429 627891 904321 1009173 1453463 2278573 2712963 4357183 4360389 6835719 7003049 10978579 13071549 21009147 32935737 47435747 47929013 77033539 120764369 142307241 143787039 231100617 362293107 521793217 1565379651 2514094591 7542283773 27655040501 82965121503