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5529673344 = 273133133539
BaseRepresentation
bin1010010011001100…
…00001111010000000
3112021101001111210110
411021212001322000
542311044021334
62312412031320
7254013306426
oct51146017200
915241044713
105529673344
1123883a1478
1210a3a62540
136a1803080
143a657d116
152256d1ae9
hex149981e80

5529673344 has 128 divisors (see below), whose sum is σ = 15873076800. Its totient is φ = 1695522816.

The previous prime is 5529673229. The next prime is 5529673349. The reversal of 5529673344 is 4433769255.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5529673293 and 5529673302.

It is not an unprimeable number, because it can be changed into a prime (5529673349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1560727 + ... + 1564265.

Almost surely, 25529673344 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 5529673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936538400).

5529673344 is an abundant number, since it is smaller than the sum of its proper divisors (10343403456).

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

5529673344 is a wasteful number, since it uses less digits than its factorization.

5529673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3870 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 48.

The square root of 5529673344 is about 74361.7734054265. The cubic root of 5529673344 is about 1768.3429376463.

The spelling of 5529673344 in words is "five billion, five hundred twenty-nine million, six hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 313 384 416 624 626 832 939 1248 1252 1664 1878 2496 2504 3539 3756 4069 4992 5008 7078 7512 8138 10016 10617 12207 14156 15024 16276 20032 21234 24414 28312 30048 32552 40064 42468 46007 48828 56624 60096 65104 84936 92014 97656 113248 120192 130208 138021 169872 184028 195312 226496 260416 276042 339744 368056 390624 452992 520832 552084 679488 736112 781248 1104168 1107707 1358976 1472224 1562496 2208336 2215414 2944448 3323121 4416672 4430828 5888896 6646242 8833344 8861656 13292484 14400191 17666688 17723312 26584968 28800382 35446624 43200573 53169936 57600764 70893248 86401146 106339872 115201528 141786496 172802292 212679744 230403056 345604584 425359488 460806112 691209168 921612224 1382418336 1843224448 2764836672 5529673344