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5500831824 = 24352948787
BaseRepresentation
bin1010001111110000…
…00000100001010000
3112012100210012200000
411013320000201100
542231203104244
62305501530000
7253213204365
oct50770004120
915170705600
105500831824
112373092404
121096273900
13698845497
143a27d246c
15222dd6169
hex147e00850

5500831824 has 120 divisors (see below), whose sum is σ = 16515713760. Its totient is φ = 1770346368.

The previous prime is 5500831813. The next prime is 5500831849. The reversal of 5500831824 is 4281380055.

It is a happy number.

5500831824 is a `hidden beast` number, since 550 + 0 + 83 + 1 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88359 + ... + 137145.

It is an arithmetic number, because the mean of its divisors is an integer number (137630948).

Almost surely, 25500831824 is an apocalyptic number.

5500831824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5500831824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257856880).

5500831824 is an abundant number, since it is smaller than the sum of its proper divisors (11014881936).

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

5500831824 is a wasteful number, since it uses less digits than its factorization.

5500831824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48839 (or 48821 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5500831824 is about 74167.5928151912. The cubic root of 5500831824 is about 1765.2631519188.

The spelling of 5500831824 in words is "five billion, five hundred million, eight hundred thirty-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 464 486 522 648 696 783 972 1044 1296 1392 1566 1944 2088 2349 3132 3888 4176 4698 6264 7047 9396 12528 14094 18792 28188 37584 48787 56376 97574 112752 146361 195148 292722 390296 439083 585444 780592 878166 1170888 1317249 1414823 1756332 2341776 2634498 2829646 3512664 3951747 4244469 5268996 5659292 7025328 7903494 8488938 10537992 11318584 11855241 12733407 15806988 16977876 21075984 22637168 23710482 25466814 31613976 33955752 38200221 47420964 50933628 63227952 67911504 76400442 94841928 101867256 114600663 152800884 189683856 203734512 229201326 305601768 343801989 458402652 611203536 687603978 916805304 1375207956 1833610608 2750415912 5500831824