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82279113936 = 2435397333427
BaseRepresentation
bin100110010100000110…
…1111010010011010000
321212101011200001120020
41030220031322103100
52322001423121221
6101444250543440
75641644633435
oct1145015722320
9255334601506
1082279113936
1131992462118
1213b43137b80
1379b3376446
143da772bb8c
152218616ac6
hex132837a4d0

82279113936 has 80 divisors (see below), whose sum is σ = 218798121024. Its totient is φ = 26631401472.

The previous prime is 82279113929. The next prime is 82279113949. The reversal of 82279113936 is 63931197228.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80055 + ... + 413481.

Almost surely, 282279113936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82279113936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109399060512).

82279113936 is an abundant number, since it is smaller than the sum of its proper divisors (136519007088).

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

82279113936 is a wasteful number, since it uses less digits than its factorization.

82279113936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333588 (or 333582 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The spelling of 82279113936 in words is "eighty-two billion, two hundred seventy-nine million, one hundred thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 97 106 159 194 212 291 318 388 424 582 636 776 848 1164 1272 1552 2328 2544 4656 5141 10282 15423 20564 30846 41128 61692 82256 123384 246768 333427 666854 1000281 1333708 2000562 2667416 4001124 5334832 8002248 16004496 17671631 32342419 35343262 53014893 64684838 70686524 97027257 106029786 129369676 141373048 194054514 212059572 258739352 282746096 388109028 424119144 517478704 776218056 848238288 1552436112 1714148207 3428296414 5142444621 6856592828 10284889242 13713185656 20569778484 27426371312 41139556968 82279113936