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20107489032 = 2333438326083
BaseRepresentation
bin10010101110011111…
…111110111100001000
31220220022210021111000
4102232133332330020
5312140004122112
613123125135000
71311165560001
oct225637767410
956808707430
1020107489032
118589176134
123a91b5a460
131b85a41107
14d8a6a61a8
157ca3ee7dc
hex4ae7fef08

20107489032 has 128 divisors (see below), whose sum is σ = 57843878400. Its totient is φ = 6467501376.

The previous prime is 20107488977. The next prime is 20107489037. The reversal of 20107489032 is 23098470102.

It is a super-2 number, since 2×201074890322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20107489037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 757863 + ... + 783945.

It is an arithmetic number, because the mean of its divisors is an integer number (451905300).

Almost surely, 220107489032 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 20107489032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28921939200).

20107489032 is an abundant number, since it is smaller than the sum of its proper divisors (37736389368).

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

20107489032 is a wasteful number, since it uses less digits than its factorization.

20107489032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26224 (or 26214 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 20107489032 in words is "twenty billion, one hundred seven million, four hundred eighty-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 83 86 108 129 166 172 216 249 258 332 344 387 498 516 664 747 774 996 1032 1161 1494 1548 1992 2241 2322 2988 3096 3569 4482 4644 5976 7138 8964 9288 10707 14276 17928 21414 26083 28552 32121 42828 52166 64242 78249 85656 96363 104332 128484 156498 192726 208664 234747 256968 312996 385452 469494 625992 704241 770904 938988 1121569 1408482 1877976 2164889 2243138 2816964 3364707 4329778 4486276 5633928 6494667 6729414 8659556 8972552 10094121 12989334 13458828 17319112 19484001 20188242 25978668 26917656 30282363 38968002 40376484 51957336 58452003 60564726 77936004 80752968 93090227 116904006 121129452 155872008 186180454 233808012 242258904 279270681 372360908 467616024 558541362 744721816 837812043 1117082724 1675624086 2234165448 2513436129 3351248172 5026872258 6702496344 10053744516 20107489032