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5320525824 = 2113510691
BaseRepresentation
bin1001111010010000…
…01100100000000000
3111201210111201100000
410331020030200000
541344023311244
62235541200000
7245563503045
oct47510144000
914653451300
105320525824
112290330889
121045a00000
1366a395243
143868991cc
1521216c169
hex13d20c800

5320525824 has 144 divisors (see below), whose sum is σ = 15937281360. Its totient is φ = 1773342720.

The previous prime is 5320525813. The next prime is 5320525829. The reversal of 5320525824 is 4285250235.

It is a happy number.

5320525824 is a `hidden beast` number, since 5 + 3 + 20 + 52 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (5320525829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492319 + ... + 503009.

It is an arithmetic number, because the mean of its divisors is an integer number (110675565).

Almost surely, 25320525824 is an apocalyptic number.

5320525824 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 5320525824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968640680).

5320525824 is an abundant number, since it is smaller than the sum of its proper divisors (10616755536).

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

5320525824 is an equidigital number, since it uses as much as digits as its factorization.

5320525824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10728 (or 10696 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 5320525824 is about 72941.9346055477. The cubic root of 5320525824 is about 1745.7612597368.

The spelling of 5320525824 in words is "five billion, three hundred twenty million, five hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5184 6144 6912 7776 9216 10368 10691 13824 15552 18432 20736 21382 27648 31104 32073 41472 42764 55296 62208 64146 82944 85528 96219 124416 128292 165888 171056 192438 248832 256584 288657 342112 384876 497664 513168 577314 684224 769752 865971 1026336 1154628 1368448 1539504 1731942 2052672 2309256 2597913 2736896 3079008 3463884 4105344 4618512 5195826 5473792 6158016 6927768 8210688 9237024 10391652 10947584 12316032 13855536 16421376 18474048 20783304 21895168 24632064 27711072 32842752 36948096 41566608 49264128 55422144 65685504 73896192 83133216 98528256 110844288 147792384 166266432 197056512 221688576 295584768 332532864 443377152 591169536 665065728 886754304 1330131456 1773508608 2660262912 5320525824