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80580080328 = 2331110911324781
BaseRepresentation
bin100101100001011110…
…0100111001011001000
321200222202122012121120
41023002330213023020
52310012000032303
6101003514435240
75551564244616
oct1130274471310
9250882565546
1080580080328
11311a039a010
121374a132b20
1377a2377a07
143c85c186b6
1521693a4553
hex12c2f272c8

80580080328 has 128 divisors (see below), whose sum is σ = 223751721600. Its totient is φ = 23979110400.

The previous prime is 80580080293. The next prime is 80580080363. The reversal of 80580080328 is 82308008508.

It is an interprime number because it is at equal distance from previous prime (80580080293) and next prime (80580080363).

It is a self number, because there is not a number n which added to its sum of digits gives 80580080328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3239298 + ... + 3264078.

It is an arithmetic number, because the mean of its divisors is an integer number (1748060325).

Almost surely, 280580080328 is an apocalyptic number.

80580080328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80580080328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111875860800).

80580080328 is an abundant number, since it is smaller than the sum of its proper divisors (143171641272).

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

80580080328 is a wasteful number, since it uses less digits than its factorization.

80580080328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25023 (or 25019 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 80580080328 in words is "eighty billion, five hundred eighty million, eighty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 113 132 218 226 264 327 339 436 452 654 678 872 904 1199 1243 1308 1356 2398 2486 2616 2712 3597 3729 4796 4972 7194 7458 9592 9944 12317 14388 14916 24634 24781 28776 29832 36951 49268 49562 73902 74343 98536 99124 135487 147804 148686 198248 270974 272591 295608 297372 406461 541948 545182 594744 812922 817773 1083896 1090364 1625844 1635546 2180728 2701129 2800253 3251688 3271092 5402258 5600506 6542184 8103387 8400759 10804516 11201012 16206774 16801518 21609032 22402024 29712419 30802783 32413548 33603036 59424838 61605566 64827096 67206072 89137257 92408349 118849676 123211132 178274514 184816698 237699352 246422264 305227577 356549028 369633396 610455154 713098056 739266792 915682731 1220910308 1831365462 2441820616 3357503347 3662730924 6715006694 7325461848 10072510041 13430013388 20145020082 26860026776 40290040164 80580080328