Search a number
-
+
4186942992 = 243268342571
BaseRepresentation
bin1111100110001111…
…1010111000010000
3101210210110202000200
43321203322320100
532033324133432
61531244415200
7205520266611
oct37143727020
911723422020
104186942992
111859469271
1298a247500
1351958687b
142ba0d7c08
151978a0a7c
hexf98fae10

4186942992 has 60 divisors (see below), whose sum is σ = 11735056944. Its totient is φ = 1393571520.

The previous prime is 4186942979. The next prime is 4186943081. The reversal of 4186942992 is 2992496814.

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 77067 + ... + 119637.

Almost surely, 24186942992 is an apocalyptic number.

It is an amenable number.

4186942992 is an abundant number, since it is smaller than the sum of its proper divisors (7548113952).

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

4186942992 is a wasteful number, since it uses less digits than its factorization.

4186942992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43268 (or 43259 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 4186942992 is about 64706.5915653112. The cubic root of 4186942992 is about 1611.7549619638.

The spelling of 4186942992 in words is "four billion, one hundred eighty-six million, nine hundred forty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 683 1366 2049 2732 4098 5464 6147 8196 10928 12294 16392 24588 32784 42571 49176 85142 98352 127713 170284 255426 340568 383139 510852 681136 766278 1021704 1532556 2043408 3065112 6130224 29075993 58151986 87227979 116303972 174455958 232607944 261683937 348911916 465215888 523367874 697823832 1046735748 1395647664 2093471496 4186942992