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4199486130 = 2325710364717
BaseRepresentation
bin1111101001001111…
…0001001010110010
3101211200001222222100
43322103301022302
532100032024010
61532413321230
7206032020540
oct37223611262
911750058870
104199486130
1118655560a4
12992496216
1351c058b48
142bba40d90
15198a2c2c0
hexfa4f12b2

4199486130 has 96 divisors (see below), whose sum is σ = 12599817984. Its totient is φ = 950548608.

The previous prime is 4199486117. The next prime is 4199486219. The reversal of 4199486130 is 316849914.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32532 + ... + 97248.

It is an arithmetic number, because the mean of its divisors is an integer number (131248104).

Almost surely, 24199486130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4199486130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299908992).

4199486130 is an abundant number, since it is smaller than the sum of its proper divisors (8400331854).

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

4199486130 is a wasteful number, since it uses less digits than its factorization.

4199486130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64840 (or 64837 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4199486130 is about 64803.4422696819. The cubic root of 4199486130 is about 1613.3628423425.

The spelling of 4199486130 in words is "four billion, one hundred ninety-nine million, four hundred eighty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 103 105 126 206 210 309 315 515 618 630 721 927 1030 1442 1545 1854 2163 3090 3605 4326 4635 6489 7210 9270 10815 12978 21630 32445 64717 64890 129434 194151 323585 388302 453019 582453 647170 906038 970755 1164906 1359057 1941510 2265095 2718114 2912265 4077171 4530190 5824530 6665851 6795285 8154342 13331702 13590570 19997553 20385855 33329255 39995106 40771710 46660957 59992659 66658510 93321914 99987765 119985318 139982871 199975530 233304785 279965742 299963295 419948613 466609570 599926590 699914355 839897226 1399828710 2099743065 4199486130