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130424542578 = 23411235360041
BaseRepresentation
bin111100101110111101…
…0001001010101110010
3110110122111210020120000
41321131322021111302
54114102140330303
6135525522330430
712265020214551
oct1713572112562
9413574706500
10130424542578
1150349288270
122133aab9a16
13c3b6b2a065
146453a1bd98
1535d5273da3
hex1e5de89572

130424542578 has 160 divisors (see below), whose sum is σ = 338959665792. Its totient is φ = 37090310400.

The previous prime is 130424542543. The next prime is 130424542597. The reversal of 130424542578 is 875245424031.

130424542578 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 24 + 54 + 2 + 578 = 666.

It is a super-2 number, since 2×1304245425782 (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 79 ways as a sum of consecutive naturals, for example, 2142238 + ... + 2202278.

Almost surely, 2130424542578 is an apocalyptic number.

130424542578 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130424542578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169479832896).

130424542578 is an abundant number, since it is smaller than the sum of its proper divisors (208535123214).

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

130424542578 is a wasteful number, since it uses less digits than its factorization.

130424542578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60142 (or 60133 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 130424542578 in words is "one hundred thirty billion, four hundred twenty-four million, five hundred forty-two thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 53 54 66 69 81 99 106 138 159 162 198 207 253 297 318 414 477 506 583 594 621 759 891 954 1166 1219 1242 1431 1518 1749 1782 1863 2277 2438 2862 3498 3657 3726 4293 4554 5247 6831 7314 8586 10494 10971 13409 13662 15741 20493 21942 26818 31482 32913 40227 40986 47223 60041 65826 80454 94446 98739 120082 120681 180123 197478 241362 360246 362043 540369 660451 724086 1080738 1086129 1320902 1380943 1621107 1981353 2172258 2761886 3182173 3242214 3962706 4142829 4863321 5944059 6364346 8285658 9546519 9726642 11888118 12428487 15190373 17832177 19093038 24856974 28639557 30380746 35003903 35664354 37285461 45571119 53496531 57279114 70007806 73189979 74570922 85918671 91142238 105011709 106993062 111856383 136713357 146379958 171837342 210023418 219569937 223712766 257756013 273426714 315035127 410140071 439139874 515512026 630070254 658709811 805089769 820280142 945105381 1230420213 1317419622 1610179538 1890210762 1976129433 2415269307 2460840426 2835316143 3952258866 4830538614 5670632286 5928388299 7245807921 11856776598 14491615842 21737423763 43474847526 65212271289 130424542578