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107049076680 = 23357139803029
BaseRepresentation
bin110001110110010011…
…1110100011111001000
3101020022102201112120210
41203230213310133020
53223214030423210
6121102213121120
710506530065320
oct1435447643710
9336272645523
10107049076680
114144345a807
12188b66291a0
13a130039730
145277314280
152bb7ee9e20
hex18ec9f47c8

107049076680 has 128 divisors (see below), whose sum is σ = 395258169600. Its totient is φ = 22586176512.

The previous prime is 107049076661. The next prime is 107049076699. The reversal of 107049076680 is 86670940701.

107049076680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107049076661) and next prime (107049076699).

It is a super-2 number, since 2×1070490766802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4890595 + ... + 4912434.

It is an arithmetic number, because the mean of its divisors is an integer number (3087954450).

Almost surely, 2107049076680 is an apocalyptic number.

107049076680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107049076680 is an abundant number, since it is smaller than the sum of its proper divisors (288209092920).

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

107049076680 is a wasteful number, since it uses less digits than its factorization.

107049076680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9803063 (or 9803059 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 107049076680 in words is "one hundred seven billion, forty-nine million, seventy-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 9803029 19606058 29409087 39212116 49015145 58818174 68621203 78424232 98030290 117636348 127439377 137242406 147045435 196060580 205863609 235272696 254878754 274484812 294090870 343106015 382318131 392121160 411727218 509757508 548969624 588181740 637196885 686212030 764636262 823454436 892075639 1019515016 1029318045 1176363480 1274393770 1372424060 1529272524 1646908872 1784151278 1911590655 2058636090 2548787540 2676226917 2744848120 3058545048 3568302556 3823181310 4117272180 4460378195 5097575080 5352453834 7136605112 7646362620 8234544360 8920756390 10704907668 13381134585 15292725240 17841512780 21409815336 26762269170 35683025560 53524538340 107049076680