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48033336312 = 2334138964067
BaseRepresentation
bin101100101111000000…
…101000101111111000
311120222112012022020000
4230233000220233320
51241333013230222
634022145033000
73320211423243
oct545700505770
9146875168200
1048033336312
1119409625565
129386325760
1346b64980c0
14247947225a
1513b1db99ac
hexb2f028bf8

48033336312 has 160 divisors (see below), whose sum is σ = 146517109200. Its totient is φ = 14613198336.

The previous prime is 48033336293. The next prime is 48033336317. The reversal of 48033336312 is 21363333084.

48033336312 is a `hidden beast` number, since 4 + 8 + 0 + 3 + 3 + 336 + 312 = 666.

48033336312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×480333363123 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48033336317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 717703 + ... + 781769.

Almost surely, 248033336312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48033336312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73258554600).

48033336312 is an abundant number, since it is smaller than the sum of its proper divisors (98483772888).

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

48033336312 is a wasteful number, since it uses less digits than its factorization.

48033336312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64187 (or 64174 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 48033336312 its reverse (21363333084), we get a palindrome (69396669396).

The spelling of 48033336312 in words is "forty-eight billion, thirty-three million, three hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 89 104 108 117 156 162 178 216 234 267 312 324 351 356 468 534 648 702 712 801 936 1053 1068 1157 1404 1602 2106 2136 2314 2403 2808 3204 3471 4212 4628 4806 6408 6942 7209 8424 9256 9612 10413 13884 14418 19224 20826 27768 28836 31239 41652 57672 62478 64067 83304 93717 124956 128134 187434 192201 249912 256268 374868 384402 512536 576603 749736 768804 832871 1153206 1537608 1665742 1729809 2306412 2498613 3331484 3459618 4612824 4997226 5189427 5701963 6662968 6919236 7495839 9994452 10378854 11403926 13838472 14991678 17105889 19988904 20757708 22487517 22807852 29983356 34211778 41515416 44975034 45615704 51317667 59966712 67462551 68423556 74125519 89950068 102635334 134925102 136847112 148251038 153953001 179900136 205270668 222376557 269850204 296502076 307906002 410541336 444753114 461859003 539700408 593004152 615812004 667129671 889506228 923718006 1231624008 1334259342 1779012456 1847436012 2001389013 2668518684 3694872024 4002778026 5337037368 6004167039 8005556052 12008334078 16011112104 24016668156 48033336312