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420432668928 = 2832182479457
BaseRepresentation
bin1100001111000111011…
…11010110100100000000
31111012012200020111102200
412013203233112210000
523342021230401203
6521051043113200
742242466502236
oct6074357264400
91435180214380
10420432668928
1115233930aa48
1269596072800
133085385529c
14164c5b14956
15ae0a62c9a3
hex61e3bd6900

420432668928 has 54 divisors (see below), whose sum is σ = 1212211039494. Its totient is φ = 140144222208.

The previous prime is 420432668927. The next prime is 420432668963. The reversal of 420432668928 is 829866234024.

It can be written as a sum of positive squares in only one way, i.e., 223040841984 + 197391826944 = 472272^2 + 444288^2 .

It is not an unprimeable number, because it can be changed into a prime (420432668927) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91237425 + ... + 91242032.

Almost surely, 2420432668928 is an apocalyptic number.

420432668928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420432668928 is an abundant number, since it is smaller than the sum of its proper divisors (791778370566).

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

420432668928 is a wasteful number, since it uses less digits than its factorization.

420432668928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182479479 (or 182479462 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 420432668928 in words is "four hundred twenty billion, four hundred thirty-two million, six hundred sixty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 182479457 364958914 547438371 729917828 1094876742 1459835656 1642315113 2189753484 2919671312 3284630226 4379506968 5839342624 6569260452 8759013936 11678685248 13138520904 17518027872 23357370496 26277041808 35036055744 46714740992 52554083616 70072111488 105108167232 140144222976 210216334464 420432668928