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6064006064 = 241013799901
BaseRepresentation
bin1011010010111000…
…10110001110110000
3120122121111102111012
411221130112032300
544404341143224
62441420410052
7303162125654
oct55134261660
916577442435
106064006064
112631a78566
1212129a6928
1375841928c
14417510a64
1525757c80e
hex1697163b0

6064006064 has 40 divisors (see below), whose sum is σ = 11897847120. Its totient is φ = 2993760000.

The previous prime is 6064006057. The next prime is 6064006079. The reversal of 6064006064 is 4606004606.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6064006064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607514 + ... + 617414.

It is an arithmetic number, because the mean of its divisors is an integer number (297446178).

Almost surely, 26064006064 is an apocalyptic number.

It is an amenable number.

6064006064 is a deficient number, since it is larger than the sum of its proper divisors (5833841056).

6064006064 is a wasteful number, since it uses less digits than its factorization.

6064006064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 6064006064 is about 77871.7282715621. The cubic root of 6064006064 is about 1823.5592370799.

It can be divided in two parts, 606400 and 6064, that multiplied together give a square (3677209600 = 606402).

The spelling of 6064006064 in words is "six billion, sixty-four million, six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 4 8 16 101 202 379 404 758 808 1516 1616 3032 6064 9901 19802 38279 39604 76558 79208 153116 158416 306232 612464 1000001 2000002 3752479 4000004 7504958 8000008 15009916 16000016 30019832 60039664 379000379 758000758 1516001516 3032003032 6064006064