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6401557314 = 232355642073
BaseRepresentation
bin1011111011001000…
…00000001101000010
3121112010122210202100
411331210000031002
5101102244313224
62535115331230
7314431224255
oct57544001502
917463583670
106401557314
11279556a839
1212a7a50b16
137b0334149
1444a29b09c
15277007ac9
hex17d900342

6401557314 has 12 divisors (see below), whose sum is σ = 13870040886. Its totient is φ = 2133852432.

The previous prime is 6401557313. The next prime is 6401557397. The reversal of 6401557314 is 4137551046.

6401557314 is a `hidden beast` number, since 64 + 0 + 15 + 573 + 14 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5071861089 + 1329696225 = 71217^2 + 36465^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6401557313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177821019 + ... + 177821054.

Almost surely, 26401557314 is an apocalyptic number.

6401557314 is an abundant number, since it is smaller than the sum of its proper divisors (7468483572).

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

6401557314 is a wasteful number, since it uses less digits than its factorization.

6401557314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355642081 (or 355642078 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6401557314 is about 80009.7326204756. The cubic root of 6401557314 is about 1856.7861131338.

The spelling of 6401557314 in words is "six billion, four hundred one million, five hundred fifty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 355642073 711284146 1066926219 2133852438 3200778657 6401557314