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272123511216 = 24319538096959
BaseRepresentation
bin1111110101101111010…
…0110100000110110000
3222000101202101200010120
43331123310310012300
513424302104324331
6325002315130240
725442321452314
oct3753364640660
9860352350116
10272123511216
11a545269a717
12448a5743980
131c87969702b
14d256b43b44
15712a1e3796
hex3f5bd341b0

272123511216 has 160 divisors (see below), whose sum is σ = 754987392000. Its totient is φ = 84196030464.

The previous prime is 272123511203. The next prime is 272123511259. The reversal of 272123511216 is 612115321272.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39100345 + ... + 39107303.

It is an arithmetic number, because the mean of its divisors is an integer number (4718671200).

Almost surely, 2272123511216 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 272123511216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377493696000).

272123511216 is an abundant number, since it is smaller than the sum of its proper divisors (482863880784).

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

272123511216 is a wasteful number, since it uses less digits than its factorization.

272123511216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7851 (or 7845 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

Adding to 272123511216 its reverse (612115321272), we get a palindrome (884238832488).

The spelling of 272123511216 in words is "two hundred seventy-two billion, one hundred twenty-three million, five hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 53 57 76 106 114 152 159 212 228 304 318 424 456 636 809 848 912 1007 1272 1618 2014 2427 2544 3021 3236 4028 4854 6042 6472 6959 8056 9708 12084 12944 13918 15371 16112 19416 20877 24168 27836 30742 38832 41754 42877 46113 48336 55672 61484 83508 85754 92226 111344 122968 128631 132221 167016 171508 184452 245936 257262 264442 334032 343016 368827 368904 396663 514524 528884 686032 737654 737808 793326 814663 1029048 1057768 1106481 1475308 1586652 1629326 2058096 2115536 2212962 2443989 2950616 3173304 3258652 4425924 4887978 5629831 5901232 6346608 6517304 7007713 8851848 9775956 11259662 13034608 14015426 16889493 17703696 19551912 21023139 22519324 28030852 33778986 39103824 42046278 45038648 56061704 67557972 84092556 90077296 106966789 112123408 135115944 168185112 213933578 270231888 298381043 320900367 336370224 427867156 596762086 641800734 855734312 895143129 1193524172 1283601468 1711468624 1790286258 2387048344 2567202936 3580572516 4774096688 5134405872 5669239817 7161145032 11338479634 14322290064 17007719451 22676959268 34015438902 45353918536 68030877804 90707837072 136061755608 272123511216