Search a number
-
+
71022064000 = 275338911411
BaseRepresentation
bin100001000100100111…
…1101011000110000000
320210022122112200002211
41002021033223012000
52130423122022000
652343241151504
75062664404036
oct1021117530600
9223278480084
1071022064000
1128136115968
121192118b594
13690b10b554
14361a668556
151caa1ee7ba
hex10893eb180

71022064000 has 128 divisors (see below), whose sum is σ = 177048050400. Its totient is φ = 28333312000.

The previous prime is 71022063977. The next prime is 71022064063. The reversal of 71022064000 is 46022017.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6218295 + ... + 6229705.

Almost surely, 271022064000 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 71022064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88524025200).

71022064000 is an abundant number, since it is smaller than the sum of its proper divisors (106025986400).

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

71022064000 is a wasteful number, since it uses less digits than its factorization.

71022064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11829 (or 11807 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 71022064000 its reverse (46022017), we get a palindrome (71068086017).

The spelling of 71022064000 in words is "seventy-one billion, twenty-two million, sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 389 400 500 640 778 800 1000 1556 1600 1945 2000 3112 3200 3890 4000 6224 7780 8000 9725 11411 12448 15560 16000 19450 22822 24896 31120 38900 45644 48625 49792 57055 62240 77800 91288 97250 114110 124480 155600 182576 194500 228220 248960 285275 311200 365152 389000 456440 570550 622400 730304 778000 912880 1141100 1244800 1426375 1460608 1556000 1825760 2282200 2852750 3112000 3651520 4438879 4564400 5705500 6224000 7303040 8877758 9128800 11411000 17755516 18257600 22194395 22822000 35511032 36515200 44388790 45644000 71022064 88777580 91288000 110971975 142044128 177555160 182576000 221943950 284088256 355110320 443887900 554859875 568176512 710220640 887775800 1109719750 1420441280 1775551600 2219439500 2840882560 3551103200 4438879000 7102206400 8877758000 14204412800 17755516000 35511032000 71022064000