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20506766600 = 2352316075449
BaseRepresentation
bin10011000110010011…
…000110110100001000
31221221011002200100002
4103012103012310020
5313444213012400
613230511102132
71324114432355
oct230623066410
957834080302
1020506766600
1187735982a1
123b83811948
131c1a68b928
14dc771d62c
158004bded5
hex4c64c6d08

20506766600 has 96 divisors (see below), whose sum is σ = 49306368000. Its totient is φ = 7923571200.

The previous prime is 20506766543. The next prime is 20506766617. The reversal of 20506766600 is 666760502.

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, 3760676 + ... + 3766124.

It is an arithmetic number, because the mean of its divisors is an integer number (513608000).

Almost surely, 220506766600 is an apocalyptic number.

20506766600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20506766600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24653184000).

20506766600 is an abundant number, since it is smaller than the sum of its proper divisors (28799601400).

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

20506766600 is a wasteful number, since it uses less digits than its factorization.

20506766600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 20506766600 in words is "twenty billion, five hundred six million, seven hundred sixty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 607 620 775 1214 1240 1550 2428 3035 3100 4856 5449 6070 6200 10898 12140 15175 18817 21796 24280 27245 30350 37634 43592 54490 60700 75268 94085 108980 121400 136225 150536 168919 188170 217960 272450 337838 376340 470425 544900 675676 752680 844595 940850 1089800 1351352 1689190 1881700 3307543 3378380 3763400 4222975 6615086 6756760 8445950 13230172 16537715 16891900 26460344 33075430 33783800 66150860 82688575 102533833 132301720 165377150 205067666 330754300 410135332 512669165 661508600 820270664 1025338330 2050676660 2563345825 4101353320 5126691650 10253383300 20506766600