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130882906560 = 2635719476623
BaseRepresentation
bin111100111100100111…
…0101010100111000000
3110111211110021112201210
41321321032222213000
54121022011002220
6140043214530120
712312254230650
oct1717116524700
9414743245653
10130882906560
1150563a9697a
1221448506940
13c45aa94a53
146498856360
1536106156e0
hex1e793aa9c0

130882906560 has 112 divisors (see below), whose sum is σ = 474917999616. Its totient is φ = 29916091392.

The previous prime is 130882906541. The next prime is 130882906577. The reversal of 130882906560 is 65609288031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9731592 + ... + 9745031.

Almost surely, 2130882906560 is an apocalyptic number.

130882906560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130882906560 is an abundant number, since it is smaller than the sum of its proper divisors (344035093056).

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

130882906560 is a wasteful number, since it uses less digits than its factorization.

130882906560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19476650 (or 19476640 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 130882906560 in words is "one hundred thirty billion, eight hundred eighty-two million, nine hundred six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 19476623 38953246 58429869 77906492 97383115 116859738 136336361 155812984 194766230 233719476 272672722 292149345 311625968 389532460 409009083 467438952 545345444 584298690 623251936 681681805 779064920 818018166 934877904 1090690888 1168597380 1246503872 1363363610 1558129840 1636036332 1869755808 2045045415 2181381776 2337194760 2726727220 3116259680 3272072664 3739511616 4090090830 4362763552 4674389520 5453454440 6232519360 6544145328 8180181660 8725527104 9348779040 10906908880 13088290656 16360363320 18697558080 21813817760 26176581312 32720726640 43627635520 65441453280 130882906560