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12032016103416 = 233976551788947
BaseRepresentation
bin1010111100010110110000…
…0010111011011111111000
31120121020201220000200010110
42233011230002323133320
53034113032110302131
641331233142144320
72351166401262621
oct257055402733770
946536656020113
1012032016103416
113919827464201
121423a75a220a0
136937ca67998a
142d84d1ab4a48
1515cea8a3d646
hexaf16c0bb7f8

12032016103416 has 64 divisors (see below), whose sum is σ = 30394821300480. Its totient is φ = 3968713958400.

The previous prime is 12032016103361. The next prime is 12032016103447. The reversal of 12032016103416 is 61430161023021.

It is a super-3 number, since 3×120320161034163 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14856255 + ... + 15645201.

It is an arithmetic number, because the mean of its divisors is an integer number (474919082820).

Almost surely, 212032016103416 is an apocalyptic number.

It is an amenable number.

12032016103416 is an abundant number, since it is smaller than the sum of its proper divisors (18362805197064).

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

12032016103416 is a wasteful number, since it uses less digits than its factorization.

12032016103416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795604 (or 795600 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 12032016103416 its reverse (61430161023021), we get a palindrome (73462177126437).

The spelling of 12032016103416 in words is "twelve trillion, thirty-two billion, sixteen million, one hundred three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 776 1164 2328 6551 13102 19653 26204 39306 52408 78612 157224 635447 788947 1270894 1577894 1906341 2366841 2541788 3155788 3812682 4733682 5083576 6311576 7625364 9467364 15250728 18934728 76527859 153055718 229583577 306111436 459167154 612222872 918334308 1836668616 5168391797 10336783594 15505175391 20673567188 31010350782 41347134376 62020701564 124041403128 501334004309 1002668008618 1504002012927 2005336017236 3008004025854 4010672034472 6016008051708 12032016103416