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130749205632 = 2735319333287
BaseRepresentation
bin111100111000101000…
…0101000110010000000
3110111111010200211112120
41321301100220302000
54120233244040012
6140022041124240
712306041624223
oct1716120506200
9414433624476
10130749205632
11504a5577441
122140b789680
13c439181886
146484bb15ba
153603a0558c
hex1e71428c80

130749205632 has 128 divisors (see below), whose sum is σ = 355699589760. Its totient is φ = 42537910272.

The previous prime is 130749205567. The next prime is 130749205649. The reversal of 130749205632 is 236502947031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3911293 + ... + 3944579.

It is an arithmetic number, because the mean of its divisors is an integer number (2778903045).

Almost surely, 2130749205632 is an apocalyptic number.

130749205632 is a gapful number since it is divisible by the number (12) 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 130749205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177849794880).

130749205632 is an abundant number, since it is smaller than the sum of its proper divisors (224950384128).

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

130749205632 is a wasteful number, since it uses less digits than its factorization.

130749205632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33550 (or 33538 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The spelling of 130749205632 in words is "one hundred thirty billion, seven hundred forty-nine million, two hundred five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 193 212 318 384 386 424 579 636 772 848 1158 1272 1544 1696 2316 2544 3088 3392 4632 5088 6176 6784 9264 10176 10229 12352 18528 20352 20458 24704 30687 33287 37056 40916 61374 66574 74112 81832 99861 122748 133148 163664 199722 245496 266296 327328 399444 490992 532592 654656 798888 981984 1065184 1309312 1597776 1764211 1963968 2130368 3195552 3528422 3927936 4260736 5292633 6391104 6424391 7056844 10585266 12782208 12848782 14113688 19273173 21170532 25697564 28227376 38546346 42341064 51395128 56454752 77092692 84682128 102790256 112909504 154185384 169364256 205580512 225819008 308370768 338728512 340492723 411161024 616741536 677457024 680985446 822322048 1021478169 1233483072 1361970892 2042956338 2466966144 2723941784 4085912676 5447883568 8171825352 10895767136 16343650704 21791534272 32687301408 43583068544 65374602816 130749205632