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42020000020 = 2257619532897
BaseRepresentation
bin100111001000100101…
…100101000100010100
311000110110001011121001
4213020211211010110
51142024110000040
631145334233044
73015203051455
oct471045450424
9130413034531
1042020000020
1116903215a49
1281884b5784
133c6871004b
14206899112c
15115deea59a
hex9c8965114

42020000020 has 48 divisors (see below), whose sum is σ = 88481202768. Its totient is φ = 16762511360.

The previous prime is 42019999997. The next prime is 42020000041. The reversal of 42020000020 is 2000002024.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17482657284 + 24537342736 = 132222^2 + 156644^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 42019999961 and 42020000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14503212 + ... + 14506108.

It is an arithmetic number, because the mean of its divisors is an integer number (1843358391).

Almost surely, 242020000020 is an apocalyptic number.

It is an amenable number.

42020000020 is an abundant number, since it is smaller than the sum of its proper divisors (46461202748).

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

42020000020 is a wasteful number, since it uses less digits than its factorization.

42020000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4620 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 42020000020 its reverse (2000002024), we get a palindrome (44020002044).

The spelling of 42020000020 in words is "forty-two billion, twenty million, twenty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 10 20 761 953 1522 1906 2897 3044 3805 3812 4765 5794 7610 9530 11588 14485 15220 19060 28970 57940 725233 1450466 2204617 2760841 2900932 3626165 4409234 5521682 7252330 8818468 11023085 11043364 13804205 14504660 22046170 27608410 44092340 55216820 2101000001 4202000002 8404000004 10505000005 21010000010 42020000020