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2066946624 = 263219318593
BaseRepresentation
bin111101100110011…
…0001101001000000
312100001022202201200
41323030301221000
513213114242444
6541033501200
7102135520311
oct17314615100
95301282650
102066946624
11970812656
12498271800
1326c2b7152
14158724608
15c16d8969
hex7b331a40

2066946624 has 84 divisors (see below), whose sum is σ = 5955546636. Its totient is φ = 685375488.

The previous prime is 2066946611. The next prime is 2066946641. The reversal of 2066946624 is 4266496602.

It can be written as a sum of positive squares in 2 ways, for example, as 839145024 + 1227801600 = 28968^2 + 35040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2066946624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101872 + ... + 120464.

Almost surely, 22066946624 is an apocalyptic number.

2066946624 is a gapful number since it is divisible by the number (24) 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 2066946624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977773318).

2066946624 is an abundant number, since it is smaller than the sum of its proper divisors (3888600012).

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

2066946624 is a wasteful number, since it uses less digits than its factorization.

2066946624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18804 (or 18791 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2066946624 is about 45463.6846724944. The cubic root of 2066946624 is about 1273.8249584741.

The spelling of 2066946624 in words is "two billion, sixty-six million, nine hundred forty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 193 288 386 576 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 12352 13896 18528 18593 27792 37056 37186 55584 55779 74372 111168 111558 148744 167337 223116 297488 334674 446232 594976 669348 892464 1189952 1338696 1784928 2677392 3569856 3588449 5354784 7176898 10709568 10765347 14353796 21530694 28707592 32296041 43061388 57415184 64592082 86122776 114830368 129184164 172245552 229660736 258368328 344491104 516736656 688982208 1033473312 2066946624