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2066209728 = 263114632113
BaseRepresentation
bin111101100100111…
…1101101111000000
312022222221022220020
41323021331233000
513212422202403
6541010013440
7102126331032
oct17311755700
95288838806
102066209728
11970359a50
12497b77280
1326c0b990b
141585b1c52
15c15e0453
hex7b27dbc0

2066209728 has 112 divisors (see below), whose sum is σ = 5979542016. Its totient is φ = 624476160.

The previous prime is 2066209703. The next prime is 2066209771. The reversal of 2066209728 is 8279026602.

It is a self number, because there is not a number n which added to its sum of digits gives 2066209728.

It is a congruent number.

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, 976800 + ... + 978912.

It is an arithmetic number, because the mean of its divisors is an integer number (53388768).

Almost surely, 22066209728 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 2066209728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989771008).

2066209728 is an abundant number, since it is smaller than the sum of its proper divisors (3913332288).

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

2066209728 is a wasteful number, since it uses less digits than its factorization.

2066209728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2066209728 is about 45455.5797235059. The cubic root of 2066209728 is about 1273.6735615491.

The spelling of 2066209728 in words is "two billion, sixty-six million, two hundred nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 463 528 704 926 1056 1389 1852 2112 2113 2778 3704 4226 5093 5556 6339 7408 8452 10186 11112 12678 14816 15279 16904 20372 22224 23243 25356 29632 30558 33808 40744 44448 46486 50712 61116 67616 69729 81488 88896 92972 101424 122232 135232 139458 162976 185944 202848 244464 278916 325952 371888 405696 488928 557832 743776 977856 978319 1115664 1487552 1956638 2231328 2934957 3913276 4462656 5869914 7826552 10761509 11739828 15653104 21523018 23479656 31306208 32284527 43046036 46959312 62612416 64569054 86092072 93918624 129138108 172184144 187837248 258276216 344368288 516552432 688736576 1033104864 2066209728