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423445416705 = 32515759935657
BaseRepresentation
bin1100010100101110101…
…00000100101100000001
31111110222122020221102200
412022113110010230001
523414204011313310
6522310024503413
742410241440403
oct6122724045401
91443878227380
10423445416705
11153644997a43
126a09701ab69
1330c13a80c8c
14166cdcb8b73
15b034d8d9c0
hex6297504b01

423445416705 has 24 divisors (see below), whose sum is σ = 738647049192. Its totient is φ = 224399096064.

The previous prime is 423445416703. The next prime is 423445416743. The reversal of 423445416705 is 507614544324.

423445416705 is a `hidden beast` number, since 4 + 2 + 3 + 44 + 541 + 67 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15109080561 + 408336336144 = 122919^2 + 639012^2 .

It is not a de Polignac number, because 423445416705 - 21 = 423445416703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (423445416703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29960764 + ... + 29974893.

It is an arithmetic number, because the mean of its divisors is an integer number (30776960383).

Almost surely, 2423445416705 is an apocalyptic number.

423445416705 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

423445416705 is a deficient number, since it is larger than the sum of its proper divisors (315201632487).

423445416705 is a wasteful number, since it uses less digits than its factorization.

423445416705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59935825 (or 59935822 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 423445416705 in words is "four hundred twenty-three billion, four hundred forty-five million, four hundred sixteen thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 157 471 785 1413 2355 7065 59935657 179806971 299678285 539420913 899034855 2697104565 9409898149 28229694447 47049490745 84689083341 141148472235 423445416705