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215306974272 = 26313355724251
BaseRepresentation
bin1100100010000101001…
…0111011010001000000
3202120202010001112201110
43020201102323101000
512011422041134042
6242524411403320
721361336041105
oct3104122732100
9676663045643
10215306974272
11833471a0565
1235889a53540
13173c36385c0
14a5c6db2aac
1559021c409c
hex32214bb440

215306974272 has 112 divisors (see below), whose sum is σ = 613684636992. Its totient is φ = 66226944000.

The previous prime is 215306974249. The next prime is 215306974301. The reversal of 215306974272 is 272479603512.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8866147 + ... + 8890397.

It is an arithmetic number, because the mean of its divisors is an integer number (5479327116).

Almost surely, 2215306974272 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 215306974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306842318496).

215306974272 is an abundant number, since it is smaller than the sum of its proper divisors (398377662720).

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

215306974272 is a wasteful number, since it uses less digits than its factorization.

215306974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27836 (or 27826 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 215306974272 in words is "two hundred fifteen billion, three hundred six million, nine hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 3557 7114 10671 14228 21342 24251 28456 42684 46241 48502 56912 72753 85368 92482 97004 113824 138723 145506 170736 184964 194008 227648 277446 291012 315263 341472 369928 388016 554892 582024 630526 682944 739856 776032 945789 1109784 1164048 1261052 1479712 1552064 1891578 2219568 2328096 2522104 2959424 3783156 4439136 4656192 5044208 7566312 8878272 10088416 15132624 20176832 30265248 60530496 86260807 172521614 258782421 345043228 517564842 690086456 1035129684 1121390491 1380172912 2070259368 2242780982 2760345824 3364171473 4140518736 4485561964 5520691648 6728342946 8281037472 8971123928 13456685892 16562074944 17942247856 26913371784 35884495712 53826743568 71768991424 107653487136 215306974272