Search a number
-
+
65887383690 = 23451094011861
BaseRepresentation
bin111101010111001100…
…011011000010001010
320022001210201212220000
4331113030123002022
52034414132234230
650133535143430
74521515343432
oct752714330212
9208053655800
1065887383690
1125a4078a617
1210929674b76
1362a03b5a8b
1432907492c2
151aa9542b60
hexf5731b08a

65887383690 has 160 divisors (see below), whose sum is σ = 179331379920. Its totient is φ = 17356032000.

The previous prime is 65887383673. The next prime is 65887383733. The reversal of 65887383690 is 9638378856.

65887383690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 32728066281 + 33159317409 = 180909^2 + 182097^2 .

It is a super-2 number, since 2×658873836902 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35403360 + ... + 35405220.

Almost surely, 265887383690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65887383690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89665689960).

65887383690 is an abundant number, since it is smaller than the sum of its proper divisors (113443996230).

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

65887383690 is a wasteful number, since it uses less digits than its factorization.

65887383690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 65887383690 in words is "sixty-five billion, eight hundred eighty-seven million, three hundred eighty-three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 109 135 162 218 270 327 401 405 545 654 802 810 981 1090 1203 1635 1861 1962 2005 2406 2943 3270 3609 3722 4010 4905 5583 5886 6015 7218 8829 9305 9810 10827 11166 12030 14715 16749 17658 18045 18610 21654 27915 29430 32481 33498 36090 43709 44145 50247 54135 55830 64962 83745 87418 88290 100494 108270 131127 150741 162405 167490 202849 218545 251235 262254 301482 324810 393381 405698 437090 502470 608547 655635 746261 753705 786762 1014245 1180143 1217094 1311270 1492522 1507410 1825641 1966905 2028490 2238783 2360286 3042735 3540429 3651282 3731305 3933810 4477566 5476923 5900715 6085470 6716349 7080858 7462610 9128205 10953846 11193915 11801430 13432698 16430769 17702145 18256410 20149047 22387830 27384615 32861538 33581745 35404290 40298094 54769230 60447141 67163490 81342449 82153845 100745235 120894282 162684898 164307690 201490470 244027347 302235705 406712245 488054694 604471410 732082041 813424490 1220136735 1464164082 2196246123 2440273470 3660410205 4392492246 6588738369 7320820410 10981230615 13177476738 21962461230 32943691845 65887383690