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5857555968 = 293211115561
BaseRepresentation
bin1010111010010001…
…10011011000000000
3120010020000200012100
411131020303120000
543444013242333
62405123430400
7265104255435
oct53510633000
916106020170
105857555968
11253648a550
121175825400
13724714164
143d7d2db8c
1524439c213
hex15d233600

5857555968 has 120 divisors (see below), whose sum is σ = 18442308456. Its totient is φ = 1775001600.

The previous prime is 5857555967. The next prime is 5857555993. The reversal of 5857555968 is 8695557585.

5857555968 is a `hidden beast` number, since 5 + 8 + 5 + 75 + 559 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5857555967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7093 + ... + 108468.

Almost surely, 25857555968 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 5857555968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9221154228).

5857555968 is an abundant number, since it is smaller than the sum of its proper divisors (12584752488).

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

5857555968 is a wasteful number, since it uses less digits than its factorization.

5857555968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115596 (or 115577 counting only the distinct ones).

The product of its digits is 75600000, while the sum is 63.

The square root of 5857555968 is about 76534.6716723865. The cubic root of 5857555968 is about 1802.6253837089.

The spelling of 5857555968 in words is "five billion, eight hundred fifty-seven million, five hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1056 1152 1408 1536 1584 2112 2304 2816 3168 4224 4608 5632 6336 8448 12672 16896 25344 50688 115561 231122 346683 462244 693366 924488 1040049 1271171 1386732 1848976 2080098 2542342 2773464 3697952 3813513 4160196 5084684 5546928 7395904 7627026 8320392 10169368 11093856 11440539 14791808 15254052 16640784 20338736 22187712 22881078 29583616 30508104 33281568 40677472 44375424 45762156 59167232 61016208 66563136 81354944 88750848 91524312 122032416 133126272 162709888 177501696 183048624 244064832 266252544 325419776 366097248 488129664 532505088 650839552 732194496 976259328 1464388992 1952518656 2928777984 5857555968