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20113810128 = 2432229727839
BaseRepresentation
bin10010101110111000…
…000110001011010000
31220220202200102101200
4102232320012023100
5312143113411003
613123512431200
71311303364566
oct225670061320
956822612350
1020113810128
1185917a3285
123a940a8500
131b871452c9
14d8b46da36
157cac4c6a3
hex4aee062d0

20113810128 has 120 divisors (see below), whose sum is σ = 56681788800. Its totient is φ = 6658198272.

The previous prime is 20113810069. The next prime is 20113810133. The reversal of 20113810128 is 82101831102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23973133 + ... + 23973971.

It is an arithmetic number, because the mean of its divisors is an integer number (472348240).

Almost surely, 220113810128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20113810128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28340894400).

20113810128 is an abundant number, since it is smaller than the sum of its proper divisors (36567978672).

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

20113810128 is a wasteful number, since it uses less digits than its factorization.

20113810128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 20113810128 in words is "twenty billion, one hundred thirteen million, eight hundred ten thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 727 839 916 1374 1454 1678 1832 2061 2181 2517 2748 2908 3356 3664 4122 4362 5034 5496 5816 6543 6712 7551 8244 8724 10068 10992 11632 13086 13424 15102 16488 17448 20136 26172 30204 32976 34896 40272 52344 60408 104688 120816 166483 192131 332966 384262 499449 576393 609953 665932 768524 998898 1152786 1219906 1331864 1498347 1537048 1729179 1829859 1997796 2305572 2439812 2663728 2996694 3074096 3458358 3659718 3995592 4611144 4879624 5489577 5993388 6916716 7319436 7991184 9222288 9759248 10979154 11986776 13833432 14638872 21958308 23973552 27666864 29277744 43916616 87833232 139679237 279358474 419037711 558716948 838075422 1117433896 1257113133 1676150844 2234867792 2514226266 3352301688 5028452532 6704603376 10056905064 20113810128