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5693096016 = 243437311777
BaseRepresentation
bin1010100110101010…
…11100000001010000
3112200202120020120000
411103111130001100
543124413033031
62340530450000
7261036342366
oct52325340120
915622506500
105693096016
112461671333
12112a733900
136c962168a
143c015d636
15234c133e6
hex15355c050

5693096016 has 100 divisors (see below), whose sum is σ = 16523049972. Its totient is φ = 1892450304.

The previous prime is 5693096011. The next prime is 5693096081. The reversal of 5693096016 is 6106903965.

5693096016 is a `hidden beast` number, since 5 + 6 + 9 + 30 + 9 + 601 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3549776400 + 2143319616 = 59580^2 + 46296^2 .

It is a super-2 number, since 2×56930960162 = 64822684494790144512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5693096011) 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 19 ways as a sum of consecutive naturals, for example, 477520 + ... + 489296.

Almost surely, 25693096016 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 5693096016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261524986).

5693096016 is an abundant number, since it is smaller than the sum of its proper divisors (10829953956).

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

5693096016 is a wasteful number, since it uses less digits than its factorization.

5693096016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12170 (or 12155 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 5693096016 is about 75452.6077481753. The cubic root of 5693096016 is about 1785.5944859785.

The spelling of 5693096016 in words is "five billion, six hundred ninety-three million, ninety-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 373 432 648 746 1119 1296 1492 2238 2984 3357 4476 5968 6714 8952 10071 11777 13428 17904 20142 23554 26856 30213 35331 40284 47108 53712 60426 70662 80568 94216 105993 120852 141324 161136 188432 211986 241704 282648 317979 423972 483408 565296 635958 847944 953937 1271916 1695888 1907874 2543832 3815748 4392821 5087664 7631496 8785642 13178463 15262992 17571284 26356926 35142568 39535389 52713852 70285136 79070778 105427704 118606167 158141556 210855408 237212334 316283112 355818501 474424668 632566224 711637002 948849336 1423274004 1897698672 2846548008 5693096016