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6000460972 = 22114316319457
BaseRepresentation
bin1011001011010011…
…11100010010101100
3120111011221000000021
411211221330102230
544242104222342
62431230411524
7301461035212
oct54551742254
916434830007
106000460972
1125aa116160
1211b5660ba4
137481ca82c
1440cccccb2
15251bc9567
hex165a7c4ac

6000460972 has 48 divisors (see below), whose sum is σ = 11794349952. Its totient is φ = 2647572480.

The previous prime is 6000460951. The next prime is 6000460979. The reversal of 6000460972 is 2790640006.

It is not an unprimeable number, because it can be changed into a prime (6000460979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298668 + ... + 318124.

It is an arithmetic number, because the mean of its divisors is an integer number (245715624).

Almost surely, 26000460972 is an apocalyptic number.

It is an amenable number.

6000460972 is a deficient number, since it is larger than the sum of its proper divisors (5793888980).

6000460972 is a wasteful number, since it uses less digits than its factorization.

6000460972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19678 (or 19676 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 6000460972 is about 77462.6424284635. The cubic root of 6000460972 is about 1817.1671272912.

The spelling of 6000460972 in words is "six billion, four hundred sixty thousand, nine hundred seventy-two".

Divisors: 1 2 4 11 22 43 44 86 163 172 326 473 652 946 1793 1892 3586 7009 7172 14018 19457 28036 38914 77099 77828 154198 214027 308396 428054 836651 856108 1673302 3171491 3346604 6342982 9203161 12685964 18406322 34886401 36812644 69772802 136374113 139545604 272748226 545496452 1500115243 3000230486 6000460972