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130861704064 = 2771330893637
BaseRepresentation
bin111100111011111110…
…1110010001110000000
3110111202222101100101011
41321313331302032000
54121001044012224
6140041140250304
712311606063050
oct1716775621600
9414688340334
10130861704064
1150553025153
12214413a0994
13c4565801b0
146495ad7560
15360d828394
hex1e77f72380

130861704064 has 128 divisors (see below), whose sum is σ = 321054955200. Its totient is φ = 51738476544.

The previous prime is 130861704053. The next prime is 130861704067. The reversal of 130861704064 is 460407168031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130861704067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35978854 + ... + 35982490.

Almost surely, 2130861704064 is an apocalyptic number.

130861704064 is a gapful number since it is divisible by the number (14) 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 130861704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160527477600).

130861704064 is an abundant number, since it is smaller than the sum of its proper divisors (190193251136).

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

130861704064 is a wasteful number, since it uses less digits than its factorization.

130861704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 6748 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 130861704064 in words is "one hundred thirty billion, eight hundred sixty-one million, seven hundred four thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 3089 3637 5824 6178 7274 11648 12356 14548 21623 24712 25459 29096 40157 43246 47281 49424 50918 58192 80314 86492 94562 98848 101836 116384 160628 172984 189124 197696 203672 232768 281099 321256 330967 345968 378248 395392 407344 465536 562198 642512 661934 691936 756496 814688 1124396 1285024 1323868 1383872 1512992 1629376 2248792 2570048 2647736 2767744 3025984 3258752 4497584 5140096 5295472 6051968 8995168 10590944 11234693 17990336 21181888 22469386 35980672 42363776 44938772 78642851 89877544 146051009 157285702 179755088 292102018 314571404 359510176 584204036 629142808 719020352 1022357063 1168408072 1258285616 1438040704 2044714126 2336816144 2516571232 4089428252 4673632288 5033142464 8178856504 9347264576 10066284928 16357713008 18694529152 32715426016 65430852032 130861704064