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80416688382 = 2363114911941
BaseRepresentation
bin100101011100100110…
…1010100100011111110
321200120101012001000000
41022321031110203332
52304143133012012
6100535400415130
75544541400352
oct1127115244376
9250511161000
1080416688382
1131117140248
12137034774a6
13777756a3a4
143c6c245462
152159d7bddc
hex12b93548fe

80416688382 has 112 divisors (see below), whose sum is σ = 187957526400. Its totient is φ = 25764609600.

The previous prime is 80416688369. The next prime is 80416688423. The reversal of 80416688382 is 28388661408.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6728532 + ... + 6740472.

It is an arithmetic number, because the mean of its divisors is an integer number (1678192200).

Almost surely, 280416688382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80416688382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93978763200).

80416688382 is an abundant number, since it is smaller than the sum of its proper divisors (107540838018).

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

80416688382 is a wasteful number, since it uses less digits than its factorization.

80416688382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12141 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 80416688382 in words is "eighty billion, four hundred sixteen million, six hundred eighty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 149 162 186 243 279 298 447 486 558 729 837 894 1341 1458 1674 2511 2682 4023 4619 5022 7533 8046 9238 11941 12069 13857 15066 22599 23882 24138 27714 35823 36207 41571 45198 71646 72414 83142 107469 108621 124713 214938 217242 249426 322407 370171 374139 644814 740342 748278 967221 1110513 1122417 1779209 1934442 2221026 2244834 2901663 3331539 3367251 3558418 5337627 5803326 6663078 6734502 8704989 9994617 10675254 16012881 17409978 19989234 29983851 32025762 48038643 55155479 59967702 89951553 96077286 110310958 144115929 165466437 179903106 269854659 288231858 330932874 432347787 496399311 539709318 864695574 992798622 1297043361 1489197933 2594086722 2978395866 4467593799 8935187598 13402781397 26805562794 40208344191 80416688382