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967989000030 = 2351314929535641
BaseRepresentation
bin11100001011000001010…
…00111111011101011110
310102112112211002010202120
432011200220333131132
5111324420141000110
62020404335403410
7126635445512343
oct16054050773536
93375484063676
10967989000030
11343581611918
12137729683566
13703863a7640
1434bcacbc7ca
151a2a6305870
hexe160a3f75e

967989000030 has 128 divisors (see below), whose sum is σ = 2519969961600. Its totient is φ = 236552970240.

The previous prime is 967988999981. The next prime is 967989000031. The reversal of 967989000030 is 30000989769.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967989000031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171596010 + ... + 171601650.

It is an arithmetic number, because the mean of its divisors is an integer number (19687265325).

Almost surely, 2967989000030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967989000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259984980800).

967989000030 is an abundant number, since it is smaller than the sum of its proper divisors (1551980961570).

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

967989000030 is a wasteful number, since it uses less digits than its factorization.

967989000030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8766.

The product of its (nonzero) digits is 734832, while the sum is 51.

Adding to 967989000030 its reverse (30000989769), we get a palindrome (997989989799).

The spelling of 967989000030 in words is "nine hundred sixty-seven billion, nine hundred eighty-nine million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 149 195 298 390 447 745 894 1490 1937 2235 2953 3874 4470 5641 5811 5906 8859 9685 11282 11622 14765 16923 17718 19370 28205 29055 29530 33846 38389 44295 56410 58110 73333 76778 84615 88590 115167 146666 169230 191945 219999 230334 366665 383890 439997 439998 575835 733330 840509 879994 1099995 1151670 1319991 1681018 2199985 2199990 2521527 2639982 4202545 4399970 5043054 5719961 6599955 8405090 10926617 11439922 12607635 13199910 16657873 17159883 21853234 25215270 28599805 32779851 33315746 34319766 49973619 54633085 57199610 65559702 83289365 85799415 99947238 109266170 163899255 166578730 171598830 216552349 249868095 327798510 433104698 499736190 649657047 1082761745 1299314094 2165523490 2482023077 3248285235 4964046154 6496570470 7446069231 12410115385 14892138462 24820230770 32266300001 37230346155 64532600002 74460692310 96798900003 161331500005 193597800006 322663000010 483994500015 967989000030