Search a number
-
+
19922400736 = 257139639851
BaseRepresentation
bin10010100011011101…
…111011010111100000
31220102102111211001221
4102203131323113200
5311300113310421
613052514104424
71303460416660
oct224335732740
956372454057
1019922400736
1184a37485a7
123a3bb7b114
131b565a8204
14d6dc861a0
157b903d841
hex4a377b5e0

19922400736 has 48 divisors (see below), whose sum is σ = 45147957120. Its totient is φ = 8476732800.

The previous prime is 19922400689. The next prime is 19922400769. The reversal of 19922400736 is 63700422991.

It is a junction number, because it is equal to n+sod(n) for n = 19922400692 and 19922400701.

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 7 ways as a sum of consecutive naturals, for example, 288790 + ... + 351061.

It is an arithmetic number, because the mean of its divisors is an integer number (940582440).

Almost surely, 219922400736 is an apocalyptic number.

19922400736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19922400736 is an abundant number, since it is smaller than the sum of its proper divisors (25225556384).

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

19922400736 is a wasteful number, since it uses less digits than its factorization.

19922400736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640007 (or 639999 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 19922400736 in words is "nineteen billion, nine hundred twenty-two million, four hundred thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 139 224 278 556 973 1112 1946 2224 3892 4448 7784 15568 31136 639851 1279702 2559404 4478957 5118808 8957914 10237616 17915828 20475232 35831656 71663312 88939289 143326624 177878578 355757156 622575023 711514312 1245150046 1423028624 2490300092 2846057248 4980600184 9961200368 19922400736