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16111369680 = 2435782111681
BaseRepresentation
bin11110000000100111…
…11111110111010000
31112120211101101021120
433000103333313100
5230444002312210
611222414322240
71110153245160
oct170023776720
945524341246
1016111369680
1169184a255a
1231577b9380
131699b7ab53
14acba825a0
15644694270
hex3c04ffdd0

16111369680 has 160 divisors (see below), whose sum is σ = 57154699008. Its totient is φ = 3677798400.

The previous prime is 16111369669. The next prime is 16111369691. The reversal of 16111369680 is 8696311161.

It is an interprime number because it is at equal distance from previous prime (16111369669) and next prime (16111369691).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1373440 + ... + 1385120.

Almost surely, 216111369680 is an apocalyptic number.

16111369680 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 16111369680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28577349504).

16111369680 is an abundant number, since it is smaller than the sum of its proper divisors (41043329328).

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

16111369680 is a wasteful number, since it uses less digits than its factorization.

16111369680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525 (or 12519 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 16111369680 in words is "sixteen billion, one hundred eleven million, three hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 821 840 1642 1680 2463 3284 4105 4926 5747 6568 8210 9852 11494 11681 12315 13136 16420 17241 19704 22988 23362 24630 28735 32840 34482 35043 39408 45976 46724 49260 57470 58405 65680 68964 70086 81767 86205 91952 93448 98520 114940 116810 137928 140172 163534 172410 175215 186896 197040 229880 233620 245301 275856 280344 327068 344820 350430 408835 459760 467240 490602 560688 654136 689640 700860 817670 934480 981204 1226505 1308272 1379280 1401720 1635340 1962408 2453010 2803440 3270680 3924816 4906020 6541360 9590101 9812040 19180202 19624080 28770303 38360404 47950505 57540606 67130707 76720808 95901010 115081212 134261414 143851515 153441616 191802020 201392121 230162424 268522828 287703030 335653535 383604040 402784242 460324848 537045656 575406060 671307070 767208080 805568484 1006960605 1074091312 1150812120 1342614140 1611136968 2013921210 2301624240 2685228280 3222273936 4027842420 5370456560 8055684840 16111369680