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2066320656 = 2432591072273
BaseRepresentation
bin111101100101001…
…1000110100010000
312100000010222001200
41323022120310100
513212434230111
6541012231200
7102130302321
oct17312306420
95300128050
102066320656
11970425324
1249800b500
1326c12825a
14158600448
15c1613256
hex7b298d10

2066320656 has 120 divisors (see below), whose sum is σ = 5938414560. Its totient is φ = 670476288.

The previous prime is 2066320639. The next prime is 2066320691. The reversal of 2066320656 is 6560236602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2066320656.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 907936 + ... + 910208.

It is an arithmetic number, because the mean of its divisors is an integer number (49486788).

Almost surely, 22066320656 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 2066320656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969207280).

2066320656 is an abundant number, since it is smaller than the sum of its proper divisors (3872093904).

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

2066320656 is a wasteful number, since it uses less digits than its factorization.

2066320656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2453 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2066320656 is about 45456.7998873656. The cubic root of 2066320656 is about 1273.6963542551.

The spelling of 2066320656 in words is "two billion, sixty-six million, three hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 107 118 144 177 214 236 321 354 428 472 531 642 708 856 944 963 1062 1284 1416 1712 1926 2124 2273 2568 2832 3852 4248 4546 5136 6313 6819 7704 8496 9092 12626 13638 15408 18184 18939 20457 25252 27276 36368 37878 40914 50504 54552 56817 75756 81828 101008 109104 113634 134107 151512 163656 227268 243211 268214 303024 327312 402321 454536 486422 536428 729633 804642 909072 972844 1072856 1206963 1459266 1609284 1945688 2145712 2188899 2413926 2918532 3218568 3891376 4377798 4827852 5837064 6437136 8755596 9655704 11674128 14349449 17511192 19311408 28698898 35022384 43048347 57397796 86096694 114795592 129145041 172193388 229591184 258290082 344386776 516580164 688773552 1033160328 2066320656