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52745388864 = 2637306112821
BaseRepresentation
bin110001000111110111…
…101100001101000000
312001010220202101010220
4301013313230031000
51331010304420424
640121512423040
73545036256630
oct610767541500
9161126671126
1052745388864
1120407440373
12a2803a7a80
134c87788a8c
1427a51ba6c0
15158a8e3579
hexc47dec340

52745388864 has 112 divisors (see below), whose sum is σ = 159556557696. Its totient is φ = 15064012800.

The previous prime is 52745388863. The next prime is 52745388869. The reversal of 52745388864 is 46888354725.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 52745388798 and 52745388807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52745388863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4107574 + ... + 4120394.

Almost surely, 252745388864 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 52745388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79778278848).

52745388864 is an abundant number, since it is smaller than the sum of its proper divisors (106811168832).

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

52745388864 is a wasteful number, since it uses less digits than its factorization.

52745388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15904 (or 15894 counting only the distinct ones).

The product of its digits is 51609600, while the sum is 60.

The spelling of 52745388864 in words is "fifty-two billion, seven hundred forty-five million, three hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3061 6122 9183 12244 12821 18366 21427 24488 25642 36732 38463 42854 48976 51284 64281 73464 76926 85708 89747 97952 102568 128562 146928 153852 171416 179494 195904 205136 257124 269241 293856 307704 342832 358988 410272 514248 538482 587712 615408 685664 717976 820544 1028496 1076964 1230816 1371328 1435952 2056992 2153928 2461632 2871904 4113984 4307856 5743808 8615712 17231424 39245081 78490162 117735243 156980324 235470486 274715567 313960648 470940972 549431134 627921296 824146701 941881944 1098862268 1255842592 1648293402 1883763888 2197724536 2511685184 3296586804 3767527776 4395449072 6593173608 7535055552 8790898144 13186347216 17581796288 26372694432 52745388864