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20004444020 = 22511539371831
BaseRepresentation
bin10010101000010110…
…111001011101110100
31220122010220001022002
4102220112321131310
5311432114202040
613105004354432
71305504653141
oct225026713564
956563801262
1020004444020
118535a94970
123a63545a18
131b6a5a2632
14d7ab213c8
157c1347a15
hex4a85b9774

20004444020 has 96 divisors (see below), whose sum is σ = 46768409856. Its totient is φ = 7125580800.

The previous prime is 20004444011. The next prime is 20004444049. The reversal of 20004444020 is 2044440002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 20004443983 and 20004444001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10924505 + ... + 10926335.

It is an arithmetic number, because the mean of its divisors is an integer number (487170936).

Almost surely, 220004444020 is an apocalyptic number.

20004444020 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 20004444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23384204928).

20004444020 is an abundant number, since it is smaller than the sum of its proper divisors (26763965836).

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

20004444020 is a wasteful number, since it uses less digits than its factorization.

20004444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 20004444020 its reverse (2044440002), we get a palindrome (22048884022).

The spelling of 20004444020 in words is "twenty billion, four million, four hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 937 1060 1166 1831 1874 2332 2915 3662 3748 4685 5830 7324 9155 9370 10307 11660 18310 18740 20141 20614 36620 40282 41228 49661 51535 80564 97043 99322 100705 103070 194086 198644 201410 206140 248305 388172 402820 485215 496610 546271 970430 993220 1067473 1092542 1715647 1940860 2134946 2185084 2731355 3431294 4269892 5337365 5462710 6862588 8578235 10674730 10925420 17156470 18872117 21349460 34312940 37744234 75488468 90929291 94360585 181858582 188721170 363717164 377442340 454646455 909292910 1000222201 1818585820 2000444402 4000888804 5001111005 10002222010 20004444020