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65381203056 = 24313259136607
BaseRepresentation
bin111100111001000001…
…011111110001110000
320020202112021020121010
4330321001133301300
52032400041444211
650011414030520
74503131025231
oct747101376160
9206675236533
1065381203056
1125800a91614
1210808048440
13621c578700
143243425088
151a79da84a6
hexf3905fc70

65381203056 has 120 divisors (see below), whose sum is σ = 185994524160. Its totient is φ = 19776177408.

The previous prime is 65381203007. The next prime is 65381203081. The reversal of 65381203056 is 65030218356.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 23 ways as a sum of consecutive naturals, for example, 410305 + ... + 546911.

It is an arithmetic number, because the mean of its divisors is an integer number (1549954368).

Almost surely, 265381203056 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 65381203056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92997262080).

65381203056 is an abundant number, since it is smaller than the sum of its proper divisors (120613321104).

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

65381203056 is a wasteful number, since it uses less digits than its factorization.

65381203056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136703 (or 136684 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 65381203056 in words is "sixty-five billion, three hundred eighty-one million, two hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 169 177 208 236 312 338 354 472 507 624 676 708 767 944 1014 1352 1416 1534 2028 2301 2704 2832 3068 4056 4602 6136 8112 9204 9971 12272 18408 19942 29913 36816 39884 59826 79768 119652 136607 159536 239304 273214 409821 478608 546428 819642 1092856 1639284 1775891 2185712 3278568 3551782 5327673 6557136 7103564 8059813 10655346 14207128 16119626 21310692 23086583 24179439 28414256 32239252 42621384 46173166 48358878 64478504 69259749 85242768 92346332 96717756 104777569 128957008 138519498 184692664 193435512 209555138 277038996 314332707 369385328 386871024 419110276 554077992 628665414 838220552 1108155984 1257330828 1362108397 1676441104 2514661656 2724216794 4086325191 5029323312 5448433588 8172650382 10896867176 16345300764 21793734352 32690601528 65381203056