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684094798980 = 2232519769925981
BaseRepresentation
bin10011111010001110011…
…10100011110010000100
32102101202202001110200200
421331013032203302010
542202011232031410
61242134021410500
7100265335564035
oct11750716436204
92371682043620
10684094798980
1124413975276a
12b06b9b69a30
134c6822260a8
1425178baca8c
1512bdca8a3c0
hex9f473a3c84

684094798980 has 144 divisors (see below), whose sum is σ = 2184670488000. Its totient is φ = 172794850560.

The previous prime is 684094798979. The next prime is 684094799009. The reversal of 684094798980 is 89897490486.

684094798980 is a `hidden beast` number, since 6 + 8 + 409 + 47 + 98 + 98 + 0 = 666.

684094798980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 684094798899 and 684094798908.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26317590 + ... + 26343570.

Almost surely, 2684094798980 is an apocalyptic number.

684094798980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684094798980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092335244000).

684094798980 is an abundant number, since it is smaller than the sum of its proper divisors (1500575689020).

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

684094798980 is a wasteful number, since it uses less digits than its factorization.

684094798980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33714 (or 33709 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 684094798980 in words is "six hundred eighty-four billion, ninety-four million, seven hundred ninety-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 7699 15398 23097 25981 30796 38495 46194 51962 69291 76990 77943 92388 103924 115485 129905 138582 146281 153980 155886 230970 233829 259810 277164 292562 311772 346455 389715 438843 461940 467658 493639 519620 585124 692910 731405 779430 877686 935316 987278 1169145 1316529 1385820 1462810 1480917 1558860 1755372 1974556 2194215 2338290 2468195 2633058 2925620 2961834 4388430 4442751 4676580 4936390 5266116 5923668 6582645 7404585 8776860 8885502 9872780 13165290 14809170 17771004 22213755 26330580 29618340 44427510 88855020 200027719 400055438 600083157 800110876 1000138595 1200166314 1800249471 2000277190 2400332628 3000415785 3600498942 3800526661 4000554380 6000831570 7200997884 7601053322 9001247355 11401579983 12001663140 15202106644 18002494710 19002633305 22803159966 34204739949 36004989420 38005266610 45606319932 57007899915 68409479898 76010533220 114015799830 136818959796 171023699745 228031599660 342047399490 684094798980