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420621253760 = 275657220709
BaseRepresentation
bin1100001111011101111…
…10101111110010000000
31111012200211002121012002
412013232332233302000
523342413020110020
6521121501123132
742250246444241
oct6075676576200
91435624077162
10420621253760
11152425806584
12696292594a8
1330883943846
1416502ba4cc8
15ae1be7e975
hex61eefafc80

420621253760 has 32 divisors (see below), whose sum is σ = 1005547686300. Its totient is φ = 168248501248.

The previous prime is 420621253757. The next prime is 420621253817. The reversal of 420621253760 is 67352126024.

It can be written as a sum of positive squares in 2 ways, for example, as 392908326976 + 27712926784 = 626824^2 + 166472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4206212537602 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328609715 + ... + 328610994.

Almost surely, 2420621253760 is an apocalyptic number.

420621253760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420621253760 is an abundant number, since it is smaller than the sum of its proper divisors (584926432540).

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

420621253760 is an equidigital number, since it uses as much as digits as its factorization.

420621253760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657220728 (or 657220716 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

Adding to 420621253760 its reverse (67352126024), we get a palindrome (487973379784).

The spelling of 420621253760 in words is "four hundred twenty billion, six hundred twenty-one million, two hundred fifty-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 657220709 1314441418 2628882836 3286103545 5257765672 6572207090 10515531344 13144414180 21031062688 26288828360 42062125376 52577656720 84124250752 105155313440 210310626880 420621253760