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82374313760816 = 24711227092944307
BaseRepresentation
bin10010101110101101000011…
…101101011101100000110000
3101210122220111120002002120212
4102232231003231131200300
541244110043310321231
6451110123132323252
723231230200105620
oct2256550355354060
9353586446062525
1082374313760816
1124279828695680
1292a483b013528
1336c6b3129960c
14164ad1c068880
1597cb2928742b
hex4aeb43b5d830

82374313760816 has 80 divisors (see below), whose sum is σ = 198990938407680. Its totient is φ = 32092464311040.

The previous prime is 82374313760813. The next prime is 82374313760833. The reversal of 82374313760816 is 61806731347328.

It is not an unprimeable number, because it can be changed into a prime (82374313760813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26505335 + ... + 29449641.

It is an arithmetic number, because the mean of its divisors is an integer number (2487386730096).

Almost surely, 282374313760816 is an apocalyptic number.

It is an amenable number.

82374313760816 is an abundant number, since it is smaller than the sum of its proper divisors (116616624646864).

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

82374313760816 is a wasteful number, since it uses less digits than its factorization.

82374313760816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967042 (or 2967036 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 59.

The spelling of 82374313760816 in words is "eighty-two trillion, three hundred seventy-four billion, three hundred thirteen million, seven hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 22709 45418 90836 158963 181672 249799 317926 363344 499598 635852 999196 1271704 1748593 1998392 2543408 2944307 3497186 3996784 5888614 6994372 11777228 13988744 20610149 23554456 27977488 32387377 41220298 47108912 64774754 82440596 129549508 164881192 226711639 259099016 329762384 453423278 518198032 906846556 1813693112 3627386224 66862267663 133724535326 267449070652 468035873641 534898141304 735484944293 936071747282 1069796282608 1470969888586 1872143494564 2941939777172 3744286989128 5148394610051 5883879554344 7488573978256 10296789220102 11767759108688 20593578440204 41187156880408 82374313760816