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20411400020 = 22511293786467
BaseRepresentation
bin10011000000100111…
…010011111101010100
31221200111122112222112
4103000213103331110
5313300304300040
613213223050152
71321546015604
oct230047237524
957614575875
1020411400020
118724780a40
123b578a0958
131c039ab0bb
14db8bb6c04
157e6e32365
hex4c09d3f54

20411400020 has 96 divisors (see below), whose sum is σ = 49681054080. Its totient is φ = 6972618240.

The previous prime is 20411400001. The next prime is 20411400083. The reversal of 20411400020 is 2000411402.

It is a junction number, because it is equal to n+sod(n) for n = 20411399968 and 20411400004.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 192827 + ... + 279293.

It is an arithmetic number, because the mean of its divisors is an integer number (517510980).

Almost surely, 220411400020 is an apocalyptic number.

20411400020 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 20411400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24840527040).

20411400020 is an abundant number, since it is smaller than the sum of its proper divisors (29269654060).

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

20411400020 is a wasteful number, since it uses less digits than its factorization.

20411400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86553 (or 86551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20411400020 its reverse (2000411402), we get a palindrome (22411811422).

The spelling of 20411400020 in words is "twenty billion, four hundred eleven million, four hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 37 44 55 58 74 110 116 145 148 185 220 290 319 370 407 580 638 740 814 1073 1276 1595 1628 2035 2146 3190 4070 4292 5365 6380 8140 10730 11803 21460 23606 47212 59015 86467 118030 172934 236060 345868 432335 864670 951137 1729340 1902274 2507543 3199279 3804548 4755685 5015086 6398558 9511370 10030172 12537715 12797116 15996395 19022740 25075430 27582973 31992790 35192069 50150860 55165946 63985580 70384138 92779091 110331892 137914865 140768276 175960345 185558182 275829730 351920690 371116364 463895455 551659460 703841380 927790910 1020570001 1855581820 2041140002 4082280004 5102850005 10205700010 20411400020