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2066656416 = 253113163131
BaseRepresentation
bin111101100101110…
…1010110010100000
312100000210000122020
41323023222302200
513213031001131
6541023341440
7102133201236
oct17313526240
95300700566
102066656416
11970634610
12498151880
1326c215026
1415868a956
15c167c996
hex7b2eaca0

2066656416 has 96 divisors (see below), whose sum is σ = 6109157376. Its totient is φ = 606048000.

The previous prime is 2066656399. The next prime is 2066656453. The reversal of 2066656416 is 6146566602.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1171 + ... + 64301.

It is an arithmetic number, because the mean of its divisors is an integer number (63637056).

Almost surely, 22066656416 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 2066656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054578688).

2066656416 is an abundant number, since it is smaller than the sum of its proper divisors (4042500960).

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

2066656416 is a wasteful number, since it uses less digits than its factorization.

2066656416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63186 (or 63178 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2066656416 is about 45460.4929141777. The cubic root of 2066656416 is about 1273.7653388897.

The spelling of 2066656416 in words is "two billion, sixty-six million, six hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 32736 63131 126262 189393 252524 378786 505048 694441 757572 1010096 1388882 1515144 1957061 2020192 2083323 2777764 3030288 3914122 4166646 5555528 5871183 6060576 7828244 8333292 11111056 11742366 15656488 16666584 21527671 22222112 23484732 31312976 33333168 43055342 46969464 62625952 64583013 66666336 86110684 93938928 129166026 172221368 187877856 258332052 344442736 516664104 688885472 1033328208 2066656416