Search a number
-
+
19964218992 = 2431928337727
BaseRepresentation
bin10010100101111101…
…011100111001110000
31220112100012101221020
4102211331130321300
5311341320001432
613101010255440
71304506030044
oct224575347160
956470171836
1019964218992
118515310243
123a51b87580
131b6215a543
14d75650024
157bca4e22c
hex4a5f5ce70

19964218992 has 80 divisors (see below), whose sum is σ = 54314856960. Its totient is φ = 6301449216.

The previous prime is 19964218949. The next prime is 19964219071. The reversal of 19964218992 is 29981246991.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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, 2579833 + ... + 2587559.

It is an arithmetic number, because the mean of its divisors is an integer number (678935712).

Almost surely, 219964218992 is an apocalyptic number.

19964218992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19964218992 is an abundant number, since it is smaller than the sum of its proper divisors (34350637968).

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

19964218992 is a wasteful number, since it uses less digits than its factorization.

19964218992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10590 (or 10584 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 60.

The spelling of 19964218992 in words is "nineteen billion, nine hundred sixty-four million, two hundred eighteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2833 5666 7727 8499 11332 15454 16998 22664 23181 30908 33996 45328 46362 53827 61816 67992 92724 107654 123632 135984 146813 161481 185448 215308 293626 322962 370896 430616 440439 587252 645924 861232 880878 1174504 1291848 1761756 2349008 2583696 3523512 7047024 21890591 43781182 65671773 87562364 131343546 175124728 262687092 350249456 415921229 525374184 831842458 1050748368 1247763687 1663684916 2495527374 3327369832 4991054748 6654739664 9982109496 19964218992