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65001364316056 = 237531031391529701
BaseRepresentation
bin11101100011110010011110…
…01110101101111110011000
322112011001212211201002011201
432301321033032231332120
532004440243231103211
6350125114201003544
716456123255252450
oct1661711716557630
9275131784632151
1065001364316056
1119790a186354a3
1273598494835b4
132a367aa4a905c
14120a123382d60
1577ac7be6b0c1
hex3b1e4f3adf98

65001364316056 has 128 divisors (see below), whose sum is σ = 144325548057600. Its totient is φ = 26872007385600.

The previous prime is 65001364316039. The next prime is 65001364316093. The reversal of 65001364316056 is 65061346310056.

It is a happy number.

65001364316056 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 65001364315997 and 65001364316015.

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, 41728006 + ... + 43257706.

It is an arithmetic number, because the mean of its divisors is an integer number (1127543344200).

Almost surely, 265001364316056 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 65001364316056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72162774028800).

65001364316056 is an abundant number, since it is smaller than the sum of its proper divisors (79324183741544).

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

65001364316056 is a wasteful number, since it uses less digits than its factorization.

65001364316056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530009 (or 1530005 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 65001364316056 in words is "sixty-five trillion, one billion, three hundred sixty-four million, three hundred sixteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 53 56 103 106 139 206 212 278 371 412 424 556 721 742 824 973 1112 1442 1484 1946 2884 2968 3892 5459 5768 7367 7784 10918 14317 14734 21836 28634 29468 38213 43672 51569 57268 58936 76426 100219 103138 114536 152852 200438 206276 305704 400876 412552 758801 801752 1517602 1529701 3035204 3059402 5311607 6070408 6118804 10623214 10707907 12237608 21246428 21415814 42492856 42831628 81074153 85663256 157559203 162148306 212628439 315118406 324296612 425256878 567519071 630236812 648593224 850513756 1102914421 1135038142 1260473624 1488399073 1701027512 2205828842 2270076284 2976798146 4411657684 4540152568 5953596292 8350637759 8823315368 11269307267 11907192584 16701275518 21900729217 22538614534 33402551036 43801458434 45077229068 58454464313 66805102072 78885150869 87602916868 90154458136 116908928626 153305104519 157770301738 175205833736 233817857252 306610209038 315540603476 467635714504 613220418076 631081206952 1160738648501 1226440836152 2321477297002 4642954594004 8125170539507 9285909188008 16250341079014 32500682158028 65001364316056