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65053109632 = 277563128959
BaseRepresentation
bin111100100101011101…
…111010110110000000
320012220122220101000211
4330211131322312000
52031212044002012
645515053523504
74462035210520
oct744535726600
9205818811024
1065053109632
112565286a125
12107361a3594
1361995c26a4
143211a1b680
151a5b19a6a7
hexf2577ad80

65053109632 has 64 divisors (see below), whose sum is σ = 148376217600. Its totient is φ = 27830168064.

The previous prime is 65053109573. The next prime is 65053109659. The reversal of 65053109632 is 23690135056.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×650531096322 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439969 + ... + 568927.

It is an arithmetic number, because the mean of its divisors is an integer number (2318378400).

Almost surely, 265053109632 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 65053109632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74188108800).

65053109632 is an abundant number, since it is smaller than the sum of its proper divisors (83323107968).

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

65053109632 is a wasteful number, since it uses less digits than its factorization.

65053109632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129543 (or 129531 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The spelling of 65053109632 in words is "sixty-five billion, fifty-three million, one hundred nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 563 896 1126 2252 3941 4504 7882 9008 15764 18016 31528 36032 63056 72064 126112 128959 252224 257918 504448 515836 902713 1031672 1805426 2063344 3610852 4126688 7221704 8253376 14443408 16506752 28886816 57773632 72603917 115547264 145207834 290415668 508227419 580831336 1016454838 1161662672 2032909676 2323325344 4065819352 4646650688 8131638704 9293301376 16263277408 32526554816 65053109632