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130345632450 = 232521127795063
BaseRepresentation
bin111100101100100110…
…1001000001011000010
3110110110000022012012200
41321121031020023002
54113421440214300
6135514023134030
712263041411065
oct1713115101302
9413400265180
10130345632450
1150308790990
12213185a4316
13c3a368ba87
14644735a8dc
1535cd388200
hex1e593482c2

130345632450 has 144 divisors (see below), whose sum is σ = 383414406336. Its totient is φ = 31484534400.

The previous prime is 130345632419. The next prime is 130345632503. The reversal of 130345632450 is 54236543031.

130345632450 is a `hidden beast` number, since 13 + 0 + 3 + 4 + 5 + 632 + 4 + 5 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1323619 + ... + 1418681.

It is an arithmetic number, because the mean of its divisors is an integer number (2662600044).

Almost surely, 2130345632450 is an apocalyptic number.

130345632450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130345632450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191707203168).

130345632450 is an abundant number, since it is smaller than the sum of its proper divisors (253068773886).

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

130345632450 is a wasteful number, since it uses less digits than its factorization.

130345632450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95369 (or 95361 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 130345632450 in words is "one hundred thirty billion, three hundred forty-five million, six hundred thirty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 277 330 450 495 550 554 825 831 990 1385 1650 1662 2475 2493 2770 3047 4155 4950 4986 6094 6925 8310 9141 12465 13850 15235 18282 20775 24930 27423 30470 41550 45705 54846 62325 76175 91410 95063 124650 137115 152350 190126 228525 274230 285189 457050 475315 570378 685575 855567 950630 1045693 1371150 1425945 1711134 2091386 2376575 2851890 3137079 4277835 4753150 5228465 6274158 7129725 8555670 9411237 10456930 14259450 15685395 18822474 21389175 26142325 26332451 31370790 42778350 47056185 52284650 52664902 78426975 78997353 94112370 131662255 156853950 157994706 235280925 236992059 263324510 289656961 394986765 470561850 473984118 579313922 658311275 789973530 868970883 1184960295 1316622550 1448284805 1737941766 1974933825 2369920590 2606912649 2896569610 3949867650 4344854415 5213825298 5924801475 7241424025 8689708830 11849602950 13034563245 14482848050 21724272075 26069126490 43448544150 65172816225 130345632450