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689044390560 = 253251925184371
BaseRepresentation
bin10100000011011100011…
…11110000001010100000
32102212112200120202220100
422001232033300022200
542242130330444220
61244313112342400
7100532106453141
oct12015617601240
92385480522810
10689044390560
11246249660119
12b165b6a4a00
134cc907b56c6
14254c82abac8
1512dcc385d90
hexa06e3f02a0

689044390560 has 144 divisors (see below), whose sum is σ = 2475120080160. Its totient is φ = 174074365440.

The previous prime is 689044390511. The next prime is 689044390577. The reversal of 689044390560 is 65093440986.

689044390560 is a `hidden beast` number, since 6 + 8 + 9 + 0 + 44 + 39 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6890443905602 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 689044390497 and 689044390506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12564826 + ... + 12619545.

It is an arithmetic number, because the mean of its divisors is an integer number (17188333890).

Almost surely, 2689044390560 is an apocalyptic number.

689044390560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

689044390560 is an abundant number, since it is smaller than the sum of its proper divisors (1786075689600).

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

689044390560 is a wasteful number, since it uses less digits than its factorization.

689044390560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25184411 (or 25184400 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 689044390560 in words is "six hundred eighty-nine billion, forty-four million, three hundred ninety thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 25184371 50368742 75553113 100737484 125921855 151106226 201474968 226659339 251843710 302212452 377765565 402949936 453318678 478503049 503687420 604424904 755531130 805899872 906637356 957006098 1007374840 1133296695 1208849808 1435509147 1511062260 1813274712 1914012196 2014749680 2266593390 2392515245 2417699616 2871018294 3022124520 3626549424 3828024392 4029499360 4306527441 4533186780 4785030490 5742036588 6044249040 7177545735 7253098848 7656048784 8613054882 9066373560 9570060980 11484073176 12088498080 14355091470 15312097568 17226109764 18132747120 19140121960 21532637205 22968146352 28710182940 34452219528 36265494240 38280243920 43065274410 45936292704 57420365880 68904439056 76560487840 86130548820 114840731760 137808878112 172261097640 229681463520 344522195280 689044390560