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19429610130 = 234574183579
BaseRepresentation
bin10010000110000110…
…000101001010010010
31212011002020110110000
4102012012011022102
5304242440011010
612531551550430
71255324650450
oct220606051222
955132213400
1019429610130
118270565737
123922b2b416
131aa8478738
14d246499d0
1578ab4b7c0
hex486185292

19429610130 has 160 divisors (see below), whose sum is σ = 61164512640. Its totient is φ = 4332683520.

The previous prime is 19429610129. The next prime is 19429610143. The reversal of 19429610130 is 3101692491.

It is a happy number.

19429610130 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 9 + 610 + 1 + 30 = 666.

It is a super-4 number, since 4×194296101304 (a number of 42 digits) contains 4444 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, 190681 + ... + 274259.

It is an arithmetic number, because the mean of its divisors is an integer number (382278204).

Almost surely, 219429610130 is an apocalyptic number.

19429610130 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 19429610130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30582256320).

19429610130 is an abundant number, since it is smaller than the sum of its proper divisors (41734902510).

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

19429610130 is a wasteful number, since it uses less digits than its factorization.

19429610130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83646 (or 83637 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 19429610130 in words is "nineteen billion, four hundred twenty-nine million, six hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 41 42 45 54 63 70 81 82 90 105 123 126 135 162 189 205 210 246 270 287 315 369 378 405 410 567 574 615 630 738 810 861 945 1107 1134 1230 1435 1722 1845 1890 2214 2583 2835 2870 3321 3690 4305 5166 5535 5670 6642 7749 8610 11070 12915 15498 16605 23247 25830 33210 38745 46494 77490 83579 116235 167158 232470 250737 417895 501474 585053 752211 835790 1170106 1253685 1504422 1755159 2256633 2507370 2925265 3426739 3510318 3761055 4513266 5265477 5850530 6769899 6853478 7522110 8775795 10280217 10530954 11283165 13539798 15796431 17133695 17551590 20560434 22566330 23987173 26327385 30840651 31592862 33849495 34267390 47389293 47974346 51401085 52654770 61681302 67698990 71961519 78982155 92521953 94778586 102802170 119935865 143923038 154203255 157964310 185043906 215884557 236946465 239871730 277565859 308406510 359807595 431769114 462609765 473892930 555131718 647653671 719615190 925219530 1079422785 1295307342 1387829295 1942961013 2158845570 2775658590 3238268355 3885922026 6476536710 9714805065 19429610130