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82440889656 = 23343215711833
BaseRepresentation
bin100110011000111011…
…1000010010100111000
321212210110002010010120
41030301313002110320
52322314331432111
6101512310213240
75645650666656
oct1146167022470
9255713063116
1082440889656
1131a65807664
1213b89354220
137a0aa39218
143dc0ddddd6
152227920406
hex1331dc2538

82440889656 has 96 divisors (see below), whose sum is σ = 212368703760. Its totient is φ = 26668002816.

The previous prime is 82440889639. The next prime is 82440889681. The reversal of 82440889656 is 65698804428.

It is a self number, because there is not a number n which added to its sum of digits gives 82440889656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6961116 + ... + 6972948.

Almost surely, 282440889656 is an apocalyptic number.

82440889656 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82440889656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106184351880).

82440889656 is an abundant number, since it is smaller than the sum of its proper divisors (129927814104).

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

82440889656 is a wasteful number, since it uses less digits than its factorization.

82440889656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12085 (or 12038 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 82440889656 in words is "eighty-two billion, four hundred forty million, eight hundred eighty-nine thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 157 172 258 314 344 471 516 628 942 1032 1256 1849 1884 3698 3768 5547 6751 7396 11094 11833 13502 14792 20253 22188 23666 27004 35499 40506 44376 47332 54008 70998 81012 94664 141996 162024 283992 290293 508819 580586 870879 1017638 1161172 1526457 1741758 1857781 2035276 2322344 3052914 3483516 3715562 4070552 5573343 6105828 6967032 7431124 11146686 12211656 14862248 21879217 22293372 43758434 44586744 65637651 79884583 87516868 131275302 159769166 175033736 239653749 262550604 319538332 479307498 525101208 639076664 958614996 1917229992 3435037069 6870074138 10305111207 13740148276 20610222414 27480296552 41220444828 82440889656