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116322001460 = 225710356914177
BaseRepresentation
bin110110001010101010…
…1001110001000110100
3102010020200100221000022
41230111111032020310
53401211413021320
6125234304104312
711255365461410
oct1542525161064
9363220327008
10116322001460
1145371812405
121a664005098
13ac7a1c7b82
1458b6a91d40
15305c138325
hex1b1554e234

116322001460 has 96 divisors (see below), whose sum is σ = 282398538240. Its totient is φ = 39422435328.

The previous prime is 116322001423. The next prime is 116322001501. The reversal of 116322001460 is 64100223611.

It is a congruent number.

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, 8197892 + ... + 8212068.

It is an arithmetic number, because the mean of its divisors is an integer number (2941651440).

Almost surely, 2116322001460 is an apocalyptic number.

116322001460 is a gapful number since it is divisible by the number (10) 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 116322001460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141199269120).

116322001460 is an abundant number, since it is smaller than the sum of its proper divisors (166076536780).

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

116322001460 is a wasteful number, since it uses less digits than its factorization.

116322001460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14865 (or 14863 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 116322001460 in words is "one hundred sixteen billion, three hundred twenty-two million, one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 206 412 515 569 721 1030 1138 1442 2060 2276 2845 2884 3605 3983 5690 7210 7966 11380 14177 14420 15932 19915 28354 39830 56708 58607 70885 79660 99239 117214 141770 198478 234428 283540 293035 396956 410249 496195 586070 820498 992390 1172140 1460231 1640996 1984780 2051245 2920462 4102490 5840924 7301155 8066713 8204980 10221617 14602310 16133426 20443234 29204620 32266852 40333565 40886468 51108085 56466991 80667130 102216170 112933982 161334260 204432340 225867964 282334955 564669910 830871439 1129339820 1661742878 3323485756 4154357195 5816100073 8308714390 11632200146 16617428780 23264400292 29080500365 58161000730 116322001460