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28383939764964 = 223472422832
BaseRepresentation
bin1100111010000101001101…
…01001011010001011100100
310201111110220120020210210000
412131002212221122023210
512210020302034434324
6140211222451501300
75656446326135400
oct635024651321344
9121443816223700
1028383939764964
11905361a036353
123224bb7bb7830
1312ab795130074
14701b0bb2c100
153434e87a19c9
hex19d0a6a5a2e4

28383939764964 has 135 divisors (see below), whose sum is σ = 86317752434067. Its totient is φ = 8109505280016.

The previous prime is 28383939764923. The next prime is 28383939764993. The reversal of 28383939764964 is 46946793938382.

The square root of 28383939764964 is 5327658.

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

28383939764964 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 39 + 3 + 97 + 6 + 496 + 4 = 666.

It is a super-2 number, since 2×283839397649642 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 671263767 + ... + 671306049.

Almost surely, 228383939764964 is an apocalyptic number.

28383939764964 is the 5327658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28383939764964

28383939764964 is an abundant number, since it is smaller than the sum of its proper divisors (57933812669103).

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

28383939764964 is an frugal number, since it uses more digits than its factorization.

28383939764964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84596 (or 42295 counting only the distinct ones).

The product of its digits is 10158317568, while the sum is 81.

28383939764964 divided by its sum of digits (81) gives a square (350419009444 = 5919622).

The spelling of 28383939764964 in words is "twenty-eight trillion, three hundred eighty-three billion, nine hundred thirty-nine million, seven hundred sixty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 42283 84566 126849 169132 253698 295981 380547 507396 591962 761094 887943 1141641 1183924 1522188 1775886 2071867 2283282 2663829 3424923 3551772 4143734 4566564 5327658 6215601 6849846 7991487 8287468 10655316 12431202 13699692 15982974 18646803 23974461 24862404 31965948 37293606 47948922 55940409 74587212 95897844 111880818 167821227 223761636 335642454 671284908 1787852089 3575704178 5363556267 7151408356 10727112534 12514964623 16090668801 21454225068 25029929246 32181337602 37544893869 48272006403 50059858492 64362675204 75089787738 87604752361 96544012806 112634681607 144816019209 150179575476 175209504722 193088025612 225269363214 262814257083 289632038418 337904044821 350419009444 450538726428 525628514166 579264076836 675808089642 788442771249 1013712134463 1051257028332 1351616179284 1576885542498 2027424268926 2365328313747 3153771084996 4054848537852 4730656627494 7095984941241 9461313254988 14191969882482 28383939764964