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65770093312 = 2871111329527
BaseRepresentation
bin111101010000001100…
…111111101100000000
320021202122000220201221
4331100030333230000
52034144120441222
650114145204424
74515562366120
oct752014775400
9207678026657
1065770093312
1125990559620
12108b6330714
136281cca2a1
14327cd36c80
151a9e0c50c7
hexf5033fb00

65770093312 has 144 divisors (see below), whose sum is σ = 165131914752. Its totient is φ = 25397084160.

The previous prime is 65770093309. The next prime is 65770093313. The reversal of 65770093312 is 21339007756.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (65770093313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2212693 + ... + 2242219.

It is an arithmetic number, because the mean of its divisors is an integer number (1146749408).

Almost surely, 265770093312 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 65770093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82565957376).

65770093312 is an abundant number, since it is smaller than the sum of its proper divisors (99361821440).

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

65770093312 is a wasteful number, since it uses less digits than its factorization.

65770093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29674 (or 29660 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 43.

The spelling of 65770093312 in words is "sixty-five billion, seven hundred seventy million, ninety-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 113 128 154 176 224 226 256 308 352 448 452 616 704 791 896 904 1232 1243 1408 1582 1792 1808 2464 2486 2816 3164 3616 4928 4972 6328 7232 8701 9856 9944 12656 14464 17402 19712 19888 25312 28928 29527 34804 39776 50624 59054 69608 79552 101248 118108 139216 159104 202496 206689 236216 278432 318208 324797 413378 472432 556864 649594 826756 944864 1113728 1299188 1653512 1889728 2227456 2273579 2598376 3307024 3336551 3779456 4547158 5196752 6614048 6673102 7558912 9094316 10393504 13228096 13346204 18188632 20787008 23355857 26456192 26692408 36377264 36702061 41574016 46711714 52912384 53384816 72754528 73404122 83148032 93423428 106769632 145509056 146808244 186846856 213539264 256914427 291018112 293616488 373693712 427078528 513828854 582036224 587232976 747387424 854157056 1027657708 1174465952 1494774848 2055315416 2348931904 2989549696 4110630832 4697863808 5979099392 8221261664 9395727616 16442523328 32885046656 65770093312