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664726656 = 27311179257
BaseRepresentation
bin100111100111101…
…110110010000000
31201022210121112210
4213213232302000
52330132223111
6145543222120
722321040406
oct4747566200
91638717483
10664726656
11311247a80
12166747940
13a793c0a9
14643d5476
153d5560a6
hex279eec80

664726656 has 128 divisors (see below), whose sum is σ = 2039722560. Its totient is φ = 189562880.

The previous prime is 664726607. The next prime is 664726669. The reversal of 664726656 is 656627466.

664726656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67180 + ... + 76436.

Almost surely, 2664726656 is an apocalyptic number.

664726656 is a gapful number since it is divisible by the number (66) 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 664726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019861280).

664726656 is an abundant number, since it is smaller than the sum of its proper divisors (1374995904).

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

664726656 is a wasteful number, since it uses less digits than its factorization.

664726656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9302 (or 9290 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 664726656 is about 25782.2934588838. The cubic root of 664726656 is about 872.7322637341.

The spelling of 664726656 in words is "six hundred sixty-four million, seven hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 264 272 352 374 384 408 528 544 561 704 748 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2992 3264 4224 4488 5984 6528 8976 9257 11968 17952 18514 23936 27771 35904 37028 55542 71808 74056 101827 111084 148112 157369 203654 222168 296224 305481 314738 407308 444336 472107 592448 610962 629476 814616 888672 944214 1184896 1221924 1258952 1629232 1731059 1777344 1888428 2443848 2517904 3258464 3462118 3554688 3776856 4887696 5035808 5193177 6516928 6924236 7553712 9775392 10071616 10386354 13033856 13848472 15107424 19550784 20143232 20772708 27696944 30214848 39101568 41545416 55393888 60429696 83090832 110787776 166181664 221575552 332363328 664726656