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63127064 = 23711137883
BaseRepresentation
bin1111000011001…
…1111000011000
311101210012001102
43300303320120
5112130031224
610133010532
71364366630
oct360637030
9141705042
1063127064
11326a7330
1219183a48
13101033c0
1485536c0
15581e4ae
hex3c33e18

63127064 has 64 divisors (see below), whose sum is σ = 158941440. Its totient is φ = 22700160.

The previous prime is 63127039. The next prime is 63127073. The reversal of 63127064 is 46072136.

63127064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4067 + ... + 11949.

It is an arithmetic number, because the mean of its divisors is an integer number (2483460).

Almost surely, 263127064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63127064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

63127064 is an abundant number, since it is smaller than the sum of its proper divisors (95814376).

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

63127064 is a wasteful number, since it uses less digits than its factorization.

63127064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 63127064 is about 7945.2541809561. The cubic root of 63127064 is about 398.1730516869.

The spelling of 63127064 in words is "sixty-three million, one hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 7883 8008 15766 31532 55181 63064 86713 102479 110362 173426 204958 220724 346852 409916 441448 606991 693704 717353 819832 1127269 1213982 1434706 2254538 2427964 2869412 4509076 4855928 5738824 7890883 9018152 15781766 31563532 63127064