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65385214140 = 223519487117773
BaseRepresentation
bin111100111001010000…
…110011000010111100
320020202210211000202210
4330321100303002330
52032402103323030
650012040020420
74503210102321
oct747120630274
9206683730683
1065385214140
1125803281164
1210809461710
13622035132c
143243b8ab48
151a7a3ebbb0
hexf394330bc

65385214140 has 96 divisors (see below), whose sum is σ = 193111672320. Its totient is φ = 16484311296.

The previous prime is 65385214123. The next prime is 65385214189. The reversal of 65385214140 is 4141258356.

65385214140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 496294 + ... + 614066.

It is an arithmetic number, because the mean of its divisors is an integer number (2011579920).

Almost surely, 265385214140 is an apocalyptic number.

65385214140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65385214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96555836160).

65385214140 is an abundant number, since it is smaller than the sum of its proper divisors (127726458180).

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

65385214140 is a wasteful number, since it uses less digits than its factorization.

65385214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118291 (or 118289 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 65385214140 in words is "sixty-five billion, three hundred eighty-five million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 487 570 974 1140 1461 1948 2435 2922 4870 5844 7305 9253 9740 14610 18506 27759 29220 37012 46265 55518 92530 111036 117773 138795 185060 235546 277590 353319 471092 555180 588865 706638 1177730 1413276 1766595 2237687 2355460 3533190 4475374 6713061 7066380 8950748 11188435 13426122 22376870 26852244 33565305 44753740 57355451 67130610 114710902 134261220 172066353 229421804 286777255 344132706 573554510 688265412 860331765 1089753569 1147109020 1720663530 2179507138 3269260707 3441327060 4359014276 5448767845 6538521414 10897535690 13077042828 16346303535 21795071380 32692607070 65385214140