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5380332768 = 253327722481
BaseRepresentation
bin1010000001011000…
…10101110011100000
3111212222001020001000
411000230111303200
542004331122033
62245515112000
7250221034236
oct50054256340
914788036030
105380332768
11231106a708
121061a42600
136798a5375
143907c6956
15217532a13
hex140b15ce0

5380332768 has 96 divisors (see below), whose sum is σ = 15749989920. Its totient is φ = 1786890240.

The previous prime is 5380332767. The next prime is 5380332791. The reversal of 5380332768 is 8672330835.

5380332768 is a `hidden beast` number, since 538 + 0 + 33 + 27 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5380332761) 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 15 ways as a sum of consecutive naturals, for example, 228088 + ... + 250568.

It is an arithmetic number, because the mean of its divisors is an integer number (164062395).

Almost surely, 25380332768 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 5380332768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7874994960).

5380332768 is an abundant number, since it is smaller than the sum of its proper divisors (10369657152).

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

5380332768 is a wasteful number, since it uses less digits than its factorization.

5380332768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22777 (or 22763 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5380332768 is about 73350.7516525904. The cubic root of 5380332768 is about 1752.2781506212.

The spelling of 5380332768 in words is "five billion, three hundred eighty million, three hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 277 288 432 554 831 864 1108 1662 2216 2493 3324 4432 4986 6648 7479 8864 9972 13296 14958 19944 22481 26592 29916 39888 44962 59832 67443 79776 89924 119664 134886 179848 202329 239328 269772 359696 404658 539544 606987 719392 809316 1079088 1213974 1618632 2158176 2427948 3237264 4855896 6227237 6474528 9711792 12454474 18681711 19423584 24908948 37363422 49817896 56045133 74726844 99635792 112090266 149453688 168135399 199271584 224180532 298907376 336270798 448361064 597814752 672541596 896722128 1345083192 1793444256 2690166384 5380332768