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5364666759168 = 21132509571811
BaseRepresentation
bin100111000010000111100…
…0011100111100000000000
3200222212010211221212222200
41032010033003213200000
51200343314142243133
615224254402433200
71062404305033203
oct116041703474000
920885124855880
105364666759168
111789162590082
12727860062800
132cbb694429c2
1414791909593a
15948321b1913
hex4e10f0e7800

5364666759168 has 144 divisors (see below), whose sum is σ = 15524610028200. Its totient is φ = 1784705925120.

The previous prime is 5364666759149. The next prime is 5364666759169. The reversal of 5364666759168 is 8619576664635.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×53646667591682 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5364666759096 and 5364666759105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5364666759169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9095983 + ... + 9667793.

Almost surely, 25364666759168 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 5364666759168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7762305014100).

5364666759168 is an abundant number, since it is smaller than the sum of its proper divisors (10159943269032).

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

5364666759168 is a wasteful number, since it uses less digits than its factorization.

5364666759168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572348 (or 572325 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 5364666759168 in words is "five trillion, three hundred sixty-four billion, six hundred sixty-six million, seven hundred fifty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 509 512 576 768 1018 1024 1152 1527 1536 2036 2048 2304 3054 3072 4072 4581 4608 6108 6144 8144 9162 9216 12216 16288 18324 18432 24432 32576 36648 48864 65152 73296 97728 130304 146592 195456 260608 293184 390912 521216 571811 586368 781824 1042432 1143622 1172736 1563648 1715433 2287244 2345472 3127296 3430866 4574488 4690944 5146299 6861732 9148976 9381888 10292598 13723464 18297952 20585196 27446928 36595904 41170392 54893856 73191808 82340784 109787712 146383616 164681568 219575424 291051799 292767232 329363136 439150848 582103598 585534464 658726272 873155397 878301696 1164207196 1171068928 1317452544 1746310794 1756603392 2328414392 2619466191 2634905088 3492621588 3513206784 4656828784 5238932382 5269810176 6985243176 9313657568 10477864764 10539620352 13970486352 18627315136 20955729528 27940972704 37254630272 41911459056 55881945408 74509260544 83822918112 111763890816 149018521088 167645836224 223527781632 298037042176 335291672448 447055563264 596074084352 670583344896 894111126528 1341166689792 1788222253056 2682333379584 5364666759168