Search a number
-
+
21132251342552 = 23767109302317093
BaseRepresentation
bin1001100111000001111000…
…10101011010011011011000
32202211020000221010020011002
410303200330111122123120
510232212322320430202
6112540004445524132
74310516613443120
oct463407425323330
982736027106132
1021132251342552
116808156a6a039
1224536a4273648
13ba39bb9c0c4c
14530b40b73c80
15269a71e20302
hex13383c55a6d8

21132251342552 has 128 divisors (see below), whose sum is σ = 46398968985600. Its totient is φ = 8836215049728.

The previous prime is 21132251342509. The next prime is 21132251342591. The reversal of 21132251342552 is 25524315223112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236301718 + ... + 1236318810.

It is an arithmetic number, because the mean of its divisors is an integer number (362491945200).

Almost surely, 221132251342552 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 21132251342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23199484492800).

21132251342552 is an abundant number, since it is smaller than the sum of its proper divisors (25266717643048).

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

21132251342552 is a wasteful number, since it uses less digits than its factorization.

21132251342552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20305 (or 20301 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

Adding to 21132251342552 its reverse (25524315223112), we get a palindrome (46656566565664).

The spelling of 21132251342552 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred fifty-one million, three hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 56 67 109 134 218 268 436 469 536 763 872 938 1526 1876 3023 3052 3752 6046 6104 7303 12092 14606 17093 21161 24184 29212 34186 42322 51121 58424 68372 84644 102242 119651 136744 169288 202541 204484 239302 329507 405082 408968 478604 659014 810164 957208 1145231 1318028 1417787 1620328 1863137 2290462 2306549 2636056 2835574 3726274 4580924 4613098 5671148 7452548 8016617 9161848 9226196 11342296 13041959 14905096 16033234 18452392 22076969 26083918 32066468 44153938 51672139 52167836 64132936 88307876 103344278 104335672 124830179 154538783 176615752 206688556 249660358 309077566 361704973 413377112 499320716 618155132 723409946 873811253 998641432 1236310264 1446819892 1747622506 2893639784 3462033313 3495245012 5632263151 6924066626 6990490024 11264526302 13848133252 22529052604 24234233191 27696266504 39425842057 45058105208 48468466382 78851684114 96936932764 157703368228 193873865528 315406736456 377361631117 754723262234 1509446524468 2641531417819 3018893048936 5283062835638 10566125671276 21132251342552