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82688923386 = 2342339235657
BaseRepresentation
bin100110100000010100…
…1001101011011111010
321220102201210112110000
41031000221031123322
52323321331022021
6101553050333430
75655052152246
oct1150051153372
9256381715400
1082688923386
1132082818013
121403842a276
137a4a240944
144005d27426
15223e5b6b26
hex1340a4d6fa

82688923386 has 80 divisors (see below), whose sum is σ = 193423754304. Its totient is φ = 26353204416.

The previous prime is 82688923367. The next prime is 82688923393. The reversal of 82688923386 is 68332988628.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14614270 + ... + 14619926.

Almost surely, 282688923386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82688923386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96711877152).

82688923386 is an abundant number, since it is smaller than the sum of its proper divisors (110734830918).

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

82688923386 is a wasteful number, since it uses less digits than its factorization.

82688923386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9617 (or 9608 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

It can be divided in two parts, 8268892 and 3386, that added together give a triangular number (8272278 = T4067).

The spelling of 82688923386 in words is "eighty-two billion, six hundred eighty-eight million, nine hundred twenty-three thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 3726 3923 5657 7846 11314 11769 16971 23538 33942 35307 50913 70614 90229 101826 105921 130111 152739 180458 211842 260222 270687 305478 317763 390333 458217 541374 635526 780666 812061 916434 1170999 1624122 2341998 2436183 3512997 4872366 7025994 7308549 10538991 14617098 21077982 22192411 44384822 66577233 133154466 199731699 399463398 510425453 599195097 1020850906 1198390194 1531276359 1797585291 3062552718 3595170582 4593829077 9187658154 13781487231 27562974462 41344461693 82688923386