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82327677184 = 287922272
BaseRepresentation
bin100110010101100011…
…1001010100100000000
321212111120001022211001
41030223013022210000
52322101341132214
6101453143501344
75643104465314
oct1145307124400
9255446038731
1082327677184
1131a07911435
1213b57457854
1379c044a8ac
143dadd6db44
15221ca0ac74
hex132b1ca900

82327677184 has 81 divisors (see below), whose sum is σ = 167176714467. Its totient is φ = 40463734272.

The previous prime is 82327677139. The next prime is 82327677191. The reversal of 82327677184 is 48177672328.

The square root of 82327677184 is 286928.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 362676879 + ... + 362677105.

Almost surely, 282327677184 is an apocalyptic number.

82327677184 is the 286928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82327677184

82327677184 is an abundant number, since it is smaller than the sum of its proper divisors (84849037283).

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

82327677184 is an frugal number, since it uses more digits than its factorization.

82327677184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 308 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 55.

The spelling of 82327677184 in words is "eighty-two billion, three hundred twenty-seven million, six hundred seventy-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 227 256 316 454 632 908 1264 1816 2528 3632 5056 6241 7264 10112 12482 14528 17933 20224 24964 29056 35866 49928 51529 58112 71732 99856 103058 143464 199712 206116 286928 399424 412232 573856 798848 824464 1147712 1416707 1597696 1648928 2295424 2833414 3297856 4070791 4590848 5666828 6595712 8141582 11333656 13191424 16283164 22667312 32566328 45334624 65132656 90669248 130265312 181338496 260530624 321592489 362676992 521061248 643184978 1042122496 1286369956 2572739912 5145479824 10290959648 20581919296 41163838592 82327677184