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65504423424 = 293114194559
BaseRepresentation
bin111101000000010111…
…100010111000000000
320021002010010111011110
4331000113202320000
52033123113022144
650031535043320
74506155261256
oct750027427000
9207063114143
1065504423424
11258645a2930
1210841370540
13623bc5c37b
14325593c5d6
151a85ae80b9
hexf405e2e00

65504423424 has 160 divisors (see below), whose sum is σ = 195017518080. Its totient is φ = 19365478400.

The previous prime is 65504423371. The next prime is 65504423431. The reversal of 65504423424 is 42432440556.

It is a happy number.

It is a super-2 number, since 2×655044234242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645457 + ... + 740015.

It is an arithmetic number, because the mean of its divisors is an integer number (1218859488).

Almost surely, 265504423424 is an apocalyptic number.

65504423424 is a gapful number since it is divisible by the number (64) 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 65504423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97508759040).

65504423424 is an abundant number, since it is smaller than the sum of its proper divisors (129513094656).

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

65504423424 is a wasteful number, since it uses less digits than its factorization.

65504423424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94632 (or 94616 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 65504423424 in words is "sixty-five billion, five hundred four million, four hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 128 132 164 176 192 246 256 264 328 352 384 451 492 512 528 656 704 768 902 984 1056 1312 1353 1408 1536 1804 1968 2112 2624 2706 2816 3608 3936 4224 5248 5412 5632 7216 7872 8448 10496 10824 14432 15744 16896 20992 21648 28864 31488 43296 57728 62976 86592 94559 115456 173184 189118 230912 283677 346368 378236 567354 692736 756472 1040149 1134708 1512944 2080298 2269416 3025888 3120447 3876919 4160596 4538832 6051776 6240894 7753838 8321192 9077664 11630757 12103552 12481788 15507676 16642384 18155328 23261514 24207104 24963576 31015352 33284768 36310656 42646109 46523028 48414208 49927152 62030704 66569536 72621312 85292218 93046056 99854304 124061408 127938327 133139072 145242624 170584436 186092112 199708608 248122816 255876654 266278144 341168872 372184224 399417216 496245632 511753308 532556288 682337744 744368448 798834432 992491264 1023506616 1364675488 1488736896 1597668864 1984982528 2047013232 2729350976 2977473792 4094026464 5458701952 5954947584 8188052928 10917403904 16376105856 21834807808 32752211712 65504423424