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20640011400 = 23325223498551
BaseRepresentation
bin10011001110001111…
…011001010010001000
31222021102211012211200
4103032033121102020
5314232320331100
613252031024200
71330323126231
oct231617312210
958242735750
1020640011400
118831826068
12400036b060
131c3c1722c8
14ddb2c6088
1580c03de00
hex4ce3d9488

20640011400 has 144 divisors (see below), whose sum is σ = 72329924160. Its totient is φ = 5264688000.

The previous prime is 20640011387. The next prime is 20640011401. The reversal of 20640011400 is 411004602.

20640011400 is a `hidden beast` number, since 20 + 640 + 0 + 1 + 1 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20640011401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207876 + ... + 290675.

It is an arithmetic number, because the mean of its divisors is an integer number (502291140).

Almost surely, 220640011400 is an apocalyptic number.

20640011400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20640011400 is an abundant number, since it is smaller than the sum of its proper divisors (51689912760).

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

20640011400 is a wasteful number, since it uses less digits than its factorization.

20640011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498596 (or 498584 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 20640011400 in words is "twenty billion, six hundred forty million, eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1656 1725 1800 2070 2300 2760 3450 4140 4600 5175 6900 8280 10350 13800 20700 41400 498551 997102 1495653 1994204 2492755 2991306 3988408 4486959 4985510 5982612 7478265 8973918 9971020 11466673 11965224 12463775 14956530 17947836 19942040 22434795 22933346 24927550 29913060 34400019 35895672 37391325 44869590 45866692 49855100 57333365 59826120 68800038 74782650 89739180 91733384 99710200 103200057 112173975 114666730 137600076 149565300 172000095 179478360 206400114 224347950 229333460 275200152 286666825 299130600 344000190 412800228 448695900 458666920 516000285 573333650 688000380 825600456 860000475 897391800 1032000570 1146667300 1376000760 1720000950 2064001140 2293334600 2580001425 3440001900 4128002280 5160002850 6880003800 10320005700 20640011400