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216554345316 = 223410322512
BaseRepresentation
bin1100100110101110100…
…1010001001101100100
3202200222001012120010000
43021223221101031210
512022000403022231
6243252251101300
721434263364301
oct3115351211544
9680861176100
10216554345316
1183927311921
1235b77741830
1317561ba768a
14a6a49140a8
15597696a6e6
hex326ba51364

216554345316 has 135 divisors (see below), whose sum is σ = 573952092483. Its totient is φ = 71199162000.

The previous prime is 216554345309. The next prime is 216554345321. The reversal of 216554345316 is 613543455612.

It is a happy number.

The square root of 216554345316 is 465354.

It is a perfect power (a square), and thus also a powerful number.

216554345316 is a `hidden beast` number, since 2 + 1 + 6 + 554 + 34 + 53 + 16 = 666.

It is a super-2 number, since 2×2165543453162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 862766191 + ... + 862766441.

Almost surely, 2216554345316 is an apocalyptic number.

216554345316 is the 465354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216554345316

216554345316 is an abundant number, since it is smaller than the sum of its proper divisors (357397747167).

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

216554345316 is an equidigital number, since it uses as much as digits as its factorization.

216554345316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 359 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 216554345316 in words is "two hundred sixteen billion, five hundred fifty-four million, three hundred forty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 251 309 324 412 502 618 753 927 1004 1236 1506 1854 2259 2781 3012 3708 4518 5562 6777 8343 9036 10609 11124 13554 16686 20331 21218 25853 27108 31827 33372 40662 42436 51706 63001 63654 77559 81324 95481 103412 126002 127308 155118 189003 190962 232677 252004 286443 310236 378006 381924 465354 567009 572886 698031 756012 859329 930708 1134018 1145772 1396062 1701027 1718658 2094093 2268036 2662859 2792124 3402054 3437316 4188186 5103081 5325718 6489103 6804108 7988577 8376372 10206162 10651436 12978206 15977154 19467309 20412324 23965731 25956412 31954308 38934618 47931462 58401927 71897193 77869236 95862924 116803854 143794386 175205781 215691579 233607708 287588772 350411562 431383158 525617343 668377609 700823124 862766316 1051234686 1336755218 2005132827 2102469372 2673510436 4010265654 6015398481 8020531308 12030796962 18046195443 24061593924 36092390886 54138586329 72184781772 108277172658 216554345316