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616768339716 = 2232192834
BaseRepresentation
bin10001111100110100100…
…00011111111100000100
32011221222122102222020100
420332122100133330010
540101120143332331
61151201154004100
762363044246554
oct10763220377404
92157878388210
10616768339716
1121862a7153a1
129b64a576630
134621295ca09
1421bcd29d164
151109c034ae6
hex8f9a41ff04

616768339716 has 135 divisors (see below), whose sum is σ = 1665493635351. Its totient is φ = 192422335536.

The previous prime is 616768339703. The next prime is 616768339769. The reversal of 616768339716 is 617933867616.

The square root of 616768339716 is 785346.

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

616768339716 is a `hidden beast` number, since 6 + 167 + 6 + 83 + 397 + 1 + 6 = 666.

616768339716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 7430943811 + ... + 7430943893.

Almost surely, 2616768339716 is an apocalyptic number.

616768339716 is the 785346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616768339716

616768339716 is an abundant number, since it is smaller than the sum of its proper divisors (1048725295635).

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

616768339716 is an frugal number, since it uses more digits than its factorization.

616768339716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 107 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

It can be divided in two parts, 616768 and 339716, that added together give a square (956484 = 9782).

The spelling of 616768339716 in words is "six hundred sixteen billion, seven hundred sixty-eight million, three hundred thirty-nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 83 114 166 171 228 249 332 342 361 498 684 722 747 996 1083 1444 1494 1577 2166 2988 3154 3249 4332 4731 6308 6498 6889 9462 12996 13778 14193 18924 20667 27556 28386 29963 41334 56772 59926 62001 82668 89889 119852 124002 130891 179778 248004 261782 269667 359556 392673 523564 539334 571787 785346 1078668 1143574 1178019 1570692 1715361 2287148 2356038 2486929 3430722 4712076 4973858 5146083 6861444 7460787 9947716 10292166 10863953 14921574 20584332 21727906 22382361 29843148 32591859 43455812 44764722 47458321 65183718 89529444 94916642 97775577 130367436 142374963 189833284 195551154 206415107 284749926 391102308 412830214 427124889 569499852 619245321 825660428 854249778 901708099 1238490642 1708499556 1803416198 1857735963 2476981284 2705124297 3606832396 3715471926 5410248594 7430943852 8115372891 10820497188 16230745782 17132453881 32461491564 34264907762 51397361643 68529815524 102794723286 154192084929 205589446572 308384169858 616768339716