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20429796144 = 2431291329683
BaseRepresentation
bin10011000001101101…
…011111001100110000
31221201210021011201110
4103001231133030300
5313320011434034
613215121233320
71322161254612
oct230155371460
957653234643
1020429796144
1187340a624a
123b61a92840
131c0774c494
14dbb404db2
157e8867de9
hex4c1b5f330

20429796144 has 40 divisors (see below), whose sum is σ = 52818014272. Its totient is φ = 6804636480.

The previous prime is 20429796137. The next prime is 20429796187. The reversal of 20429796144 is 44169792402.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 20429796093 and 20429796102.

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 7 ways as a sum of consecutive naturals, for example, 102874 + ... + 226809.

Almost surely, 220429796144 is an apocalyptic number.

20429796144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20429796144 is an abundant number, since it is smaller than the sum of its proper divisors (32388218128).

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

20429796144 is a wasteful number, since it uses less digits than its factorization.

20429796144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330985 (or 330979 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 20429796144 in words is "twenty billion, four hundred twenty-nine million, seven hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 1291 2582 3873 5164 7746 10328 15492 20656 30984 61968 329683 659366 989049 1318732 1978098 2637464 3956196 5274928 7912392 15824784 425620753 851241506 1276862259 1702483012 2553724518 3404966024 5107449036 6809932048 10214898072 20429796144