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6423764130 = 234577914341
BaseRepresentation
bin1011111101110001…
…01101110010100010
3121120200110000210000
411332320231302202
5101123440423010
62541231320430
7315121044210
oct57670556242
917520400700
106423764130
1127a7058083
1212b3380116
137b4b0ab84
1444d1dbcb0
15278e427c0
hex17ee2dca2

6423764130 has 160 divisors (see below), whose sum is σ = 19991600640. Its totient is φ = 1449601920.

The previous prime is 6423764119. The next prime is 6423764183. The reversal of 6423764130 is 314673246.

It is a happy number.

6423764130 is a `hidden beast` number, since 6 + 4 + 2 + 3 + 7 + 641 + 3 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 440760 + ... + 455100.

It is an arithmetic number, because the mean of its divisors is an integer number (124947504).

Almost surely, 26423764130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6423764130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995800320).

6423764130 is an abundant number, since it is smaller than the sum of its proper divisors (13567836510).

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

6423764130 is a wasteful number, since it uses less digits than its factorization.

6423764130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14446 (or 14437 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6423764130 is about 80148.3881934004. The cubic root of 6423764130 is about 1858.9306808888.

The spelling of 6423764130 in words is "six billion, four hundred twenty-three million, seven hundred sixty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 79 81 90 105 126 135 158 162 189 210 237 270 315 378 395 405 474 553 567 630 711 790 810 945 1106 1134 1185 1422 1659 1890 2133 2370 2765 2835 3318 3555 4266 4977 5530 5670 6399 7110 8295 9954 10665 12798 14341 14931 16590 21330 24885 28682 29862 31995 43023 44793 49770 63990 71705 74655 86046 89586 100387 129069 143410 149310 200774 215115 223965 258138 301161 387207 430230 447930 501935 602322 645345 774414 903483 1003870 1132939 1161621 1290690 1505805 1806966 1936035 2265878 2323242 2710449 3011610 3398817 3872070 4517415 5420898 5664695 5808105 6797634 7930573 8131347 9034830 10196451 11329390 11616210 13552245 15861146 16262694 16994085 20392902 23791719 27104490 30589353 33988170 39652865 40656735 47583438 50982255 61178706 71375157 79305730 81313470 91768059 101964510 118958595 142750314 152946765 183536118 214125471 237917190 305893530 356875785 428250942 458840295 642376413 713751570 917680590 1070627355 1284752826 2141254710 3211882065 6423764130