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2044252345050 = 232527175898431
BaseRepresentation
bin11101101111110110111…
…011110101001011011010
321020102120110102220020200
4131233312323311023122
5231443112100020200
64203041102203030
7300456323142216
oct35576673651332
97212513386220
102044252345050
11718a65178683
12290233b83476
1311aa065bc226
1470d29adb946
1538297e83800
hex1dbf6ef52da

2044252345050 has 144 divisors (see below), whose sum is σ = 5570974506240. Its totient is φ = 537321456000.

The previous prime is 2044252345027. The next prime is 2044252345061. The reversal of 2044252345050 is 505432524402.

2044252345050 is a `hidden beast` number, since 2 + 0 + 4 + 42 + 523 + 45 + 0 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2044252344996 and 2044252345014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 242464335 + ... + 242472765.

It is an arithmetic number, because the mean of its divisors is an integer number (38687322960).

Almost surely, 22044252345050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044252345050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785487253120).

2044252345050 is an abundant number, since it is smaller than the sum of its proper divisors (3526722161190).

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

2044252345050 is a wasteful number, since it uses less digits than its factorization.

2044252345050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16109 (or 16101 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 2044252345050 its reverse (505432524402), we get a palindrome (2549684869452).

The spelling of 2044252345050 in words is "two trillion, forty-four billion, two hundred fifty-two million, three hundred forty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 142 150 213 225 355 426 450 639 710 1065 1278 1775 2130 3195 3550 5325 6390 7589 8431 10650 15178 15975 16862 22767 25293 31950 37945 42155 45534 50586 68301 75879 75890 84310 113835 126465 136602 151758 189725 210775 227670 252930 341505 379395 379450 421550 538819 569175 598601 632325 683010 758790 1077638 1138350 1197202 1264650 1616457 1707525 1795803 1896975 2694095 2993005 3232914 3415050 3591606 3793950 4849371 5387409 5388190 5986010 8082285 8979015 9698742 10774818 13470475 14965025 16164570 17958030 24246855 26937045 26940950 29930050 40411425 44895075 48493710 53874090 63982859 80822850 89790150 121234275 127965718 134685225 191948577 242468550 269370450 319914295 383897154 575845731 639828590 959742885 1151691462 1599571475 1919485770 2879228655 3199142950 4542782989 4798714425 5758457310 9085565978 9597428850 13628348967 14396143275 22713914945 27256697934 28792286550 40885046901 45427829890 68141744835 81770093802 113569574725 136283489670 204425234505 227139149450 340708724175 408850469010 681417448350 1022126172525 2044252345050