Search a number
-
+
7068445507100 = 22522319173921773
BaseRepresentation
bin110011011011100000000…
…1011101111111000011100
3221000201220010020222212202
41212313000023233320130
51411302134022211400
623011110554151032
71326451445322455
oct146670013577034
927021803228782
107068445507100
11228579023a93a
12961ab4122478
133c37229b15a3
141a618660212c
15c3cee5ee4d5
hex66dc02efe1c

7068445507100 has 144 divisors (see below), whose sum is σ = 16111728783360. Its totient is φ = 2686525459200.

The previous prime is 7068445507073. The next prime is 7068445507103. The reversal of 7068445507100 is 17055448607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7068445507103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324631814 + ... + 324653586.

It is an arithmetic number, because the mean of its divisors is an integer number (111887005440).

Almost surely, 27068445507100 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 7068445507100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055864391680).

7068445507100 is an abundant number, since it is smaller than the sum of its proper divisors (9043283276260).

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

7068445507100 is a wasteful number, since it uses less digits than its factorization.

7068445507100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22740 (or 22733 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 47.

The spelling of 7068445507100 in words is "seven trillion, sixty-eight billion, four hundred forty-five million, five hundred seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 191 230 382 460 575 739 764 955 1150 1478 1910 2300 2956 3695 3820 4393 4775 7390 8786 9550 14780 16997 17572 18475 19100 21773 21965 33994 36950 43546 43930 67988 73900 84985 87092 87860 108865 109825 141149 169970 217730 219650 282298 339940 424925 435460 439300 500779 544325 564596 705745 849850 1001558 1088650 1411490 1699700 2003116 2177300 2503895 2822980 3246427 3528725 4158643 5007790 6492854 7057450 8317286 10015580 12519475 12985708 14114900 16090247 16232135 16634572 20793215 25038950 32180494 32464270 41586430 50077900 64360988 64928540 80451235 81160675 83172860 95648789 103966075 160902470 162321350 191297578 207932150 321804940 324642700 370075681 382595156 402256175 415864300 478243945 740151362 804512350 956487890 1480302724 1609024700 1850378405 1912975780 2391219725 3073237177 3700756810 4782439450 6146474354 7401513620 9251892025 9564878900 12292948708 15366185885 18503784050 30732371770 37007568100 61464743540 70684455071 76830929425 141368910142 153661858850 282737820284 307323717700 353422275355 706844550710 1413689101420 1767111376775 3534222753550 7068445507100