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420451120512 = 27321573123201
BaseRepresentation
bin1100001111001001101…
…01101111010110000000
31111012020221221221020200
412013210311233112000
523342040441324022
6521052542405200
742243112362033
oct6074465572600
91435227857220
10420451120512
11152348772995
12695a0290800
1330857615997
14164c835901a
15ae0c074bac
hex61e4d6f580

420451120512 has 96 divisors (see below), whose sum is σ = 1210020959160. Its totient is φ = 140135424000.

The previous prime is 420451120493. The next prime is 420451120559. The reversal of 420451120512 is 215021154024.

It is a happy number.

420451120512 is a `hidden beast` number, since 4 + 2 + 0 + 451 + 1 + 205 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18110512 + ... + 18133712.

Almost surely, 2420451120512 is an apocalyptic number.

It is an amenable number.

420451120512 is an abundant number, since it is smaller than the sum of its proper divisors (789569838648).

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

420451120512 is a wasteful number, since it uses less digits than its factorization.

420451120512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38952 (or 38937 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 420451120512 its reverse (215021154024), we get a palindrome (635472274536).

The spelling of 420451120512 in words is "four hundred twenty billion, four hundred fifty-one million, one hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 15731 23201 31462 46402 47193 62924 69603 92804 94386 125848 139206 141579 185608 188772 208809 251696 278412 283158 371216 377544 417618 503392 556824 566316 742432 755088 835236 1006784 1113648 1132632 1484864 1510176 1670472 2013568 2227296 2265264 2969728 3020352 3340944 4454592 4530528 6040704 6681888 8909184 9061056 13363776 18122112 26727552 364974931 729949862 1094924793 1459899724 2189849586 2919799448 3284774379 4379699172 5839598896 6569548758 8759398344 11679197792 13139097516 17518796688 23358395584 26278195032 35037593376 46716791168 52556390064 70075186752 105112780128 140150373504 210225560256 420451120512