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2033938050244 = 222926723672
BaseRepresentation
bin11101100110010000001…
…001111010110011000100
321012102221122021102200221
4131212100021322303010
5231311001120101434
64154213411114124
7266642611112662
oct35462011726304
97172848242627
102033938050244
117146520062a1
1228a2358a2944
13119a5176a5c9
147062bd23c32
1537d926e12b4
hex1d99027acc4

2033938050244 has 81 divisors (see below), whose sum is σ = 3752427604653. Its totient is φ = 964610339616.

The previous prime is 2033938050239. The next prime is 2033938050247. The reversal of 2033938050244 is 4420508393302.

The square root of 2033938050244 is 1426162.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1066547776644 + 967390273600 = 1032738^2 + 983560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2033938050244.

It is not an unprimeable number, because it can be changed into a prime (2033938050247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5542065349 + ... + 5542065715.

Almost surely, 22033938050244 is an apocalyptic number.

2033938050244 is the 1426162-nd square number.

It is an amenable number.

2033938050244 is a deficient number, since it is larger than the sum of its proper divisors (1718489554409).

2033938050244 is an frugal number, since it uses more digits than its factorization.

2033938050244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 2033938050244 in words is "two trillion, thirty-three billion, nine hundred thirty-eight million, fifty thousand, two hundred forty-four".

Divisors: 1 2 4 29 58 67 116 134 268 367 734 841 1468 1682 1943 3364 3886 4489 7772 8978 10643 17956 21286 24589 42572 49178 56347 98356 112694 130181 134689 225388 260362 269378 308647 520724 538756 617294 713081 1234588 1426162 1647463 2852324 3294926 3775249 3905981 6589852 7550498 7811962 9024163 15100996 15623924 18048326 20679349 36096652 41358698 47776427 82717396 95552854 113273449 191105708 226546898 261700727 453093796 523401454 604618921 1046802908 1209237842 1385516383 2418475684 2771032766 5542065532 7589321083 15178642166 17533948709 30357284332 35067897418 70135794836 508484512561 1016969025122 2033938050244