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5211820328 = 23111383131419
BaseRepresentation
bin1001101101010011…
…00001000100101000
3111110012221220102112
410312221201010220
541133211222303
62221055221452
7243103512311
oct46651410450
914405856375
105211820328
112234a33830
121015517888
136509c4170
1437627d608
152078480d8
hex136a61128

5211820328 has 128 divisors (see below), whose sum is σ = 11735539200. Its totient is φ = 2138822400.

The previous prime is 5211820319. The next prime is 5211820357. The reversal of 5211820328 is 8230281125.

It is a happy number.

It is a super-2 number, since 2×52118203282 = 54326142262708055168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5211820294 and 5211820303.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12438503 + ... + 12438921.

It is an arithmetic number, because the mean of its divisors is an integer number (91683900).

Almost surely, 25211820328 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 5211820328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867769600).

5211820328 is an abundant number, since it is smaller than the sum of its proper divisors (6523718872).

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

5211820328 is a wasteful number, since it uses less digits than its factorization.

5211820328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 5211820328 is about 72192.9382142049. The cubic root of 5211820328 is about 1733.7899391091.

The spelling of 5211820328 in words is "five billion, two hundred eleven million, eight hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 83 88 104 131 143 166 262 286 332 419 524 572 664 838 913 1048 1079 1144 1441 1676 1703 1826 2158 2882 3352 3406 3652 4316 4609 5447 5764 6812 7304 8632 9218 10873 10894 11528 11869 13624 18436 18733 21746 21788 23738 34777 36872 37466 43492 43576 47476 54889 59917 69554 74932 86984 94952 109778 119603 119834 139108 141349 149864 219556 239206 239668 278216 282698 382547 439112 452101 478412 479336 565396 603779 713557 765094 904202 956824 1130792 1207558 1427114 1530188 1554839 1808404 2415116 2854228 3060376 3109678 3616808 4555787 4830232 4973111 5708456 6219356 7849127 9111574 9946222 12438712 15698254 18223148 19892444 31396508 36446296 39784888 50113657 59225231 62793016 100227314 118450462 200454628 236900924 400909256 473801848 651477541 1302955082 2605910164 5211820328