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61769664 = 2632119749
BaseRepresentation
bin1110101110100…
…0011111000000
311022020020001100
43223220133000
5111303112124
610043534400
71350014325
oct353503700
9138206040
1061769664
113195a510
121882a400
13ca495c8
1482bcb4c
1556521c9
hex3ae87c0

61769664 has 84 divisors (see below), whose sum is σ = 193167000. Its totient is φ = 18716160.

The previous prime is 61769647. The next prime is 61769671. The reversal of 61769664 is 46696716.

It is a happy number.

61769664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 1462 + ... + 11210.

Almost surely, 261769664 is an apocalyptic number.

61769664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96583500).

61769664 is an abundant number, since it is smaller than the sum of its proper divisors (131397336).

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

61769664 is a wasteful number, since it uses less digits than its factorization.

61769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9765 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 61769664 is about 7859.3679135157. The cubic root of 61769664 is about 395.2984210716.

The spelling of 61769664 in words is "sixty-one million, seven hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 9749 19498 29247 38996 58494 77992 87741 107239 116988 155984 175482 214478 233976 311968 321717 350964 428956 467952 623936 643434 701928 857912 935904 965151 1286868 1403856 1715824 1871808 1930302 2573736 2807712 3431648 3860604 5147472 5615424 6863296 7721208 10294944 15442416 20589888 30884832 61769664