Search a number
-
+
20432073984 = 28373800609
BaseRepresentation
bin10011000001110110…
…001011010100000000
31221201221112220022220
4103001312023110000
5313321102331414
613215242131040
71322216522550
oct230166132400
957657486286
1020432073984
118735411663
123b627b0a80
131c0806920a
14dbb839160
157e8b67ca9
hex4c1d8b500

20432073984 has 72 divisors (see below), whose sum is σ = 62147574720. Its totient is φ = 5837733888.

The previous prime is 20432073983. The next prime is 20432074049. The reversal of 20432073984 is 48937023402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20432073983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1894929 + ... + 1905680.

It is an arithmetic number, because the mean of its divisors is an integer number (863160760).

Almost surely, 220432073984 is an apocalyptic number.

20432073984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20432073984 is an abundant number, since it is smaller than the sum of its proper divisors (41715500736).

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

20432073984 is an equidigital number, since it uses as much as digits as its factorization.

20432073984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800635 (or 3800621 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 20432073984 in words is "twenty billion, four hundred thirty-two million, seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 3800609 7601218 11401827 15202436 22803654 26604263 30404872 45607308 53208526 60809744 79812789 91214616 106417052 121619488 159625578 182429232 212834104 243238976 319251156 364858464 425668208 486477952 638502312 729716928 851336416 972955904 1277004624 1459433856 1702672832 2554009248 2918867712 3405345664 5108018496 6810691328 10216036992 20432073984