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11248674905356 = 2272329739815029
BaseRepresentation
bin1010001110110000100101…
…0001011001110100001100
31110211100210111100202022021
42203230021101121310030
52433244241233432411
635531323033455524
72240455436044360
oct243541121316414
943740714322267
1011248674905356
113647599805a19
12131809a5715a4
1363798cacc975
142ac61ddb32a0
1514790cec7a71
hexa3b09459d0c

11248674905356 has 96 divisors (see below), whose sum is σ = 24317887104000. Its totient is φ = 4446218988288.

The previous prime is 11248674905353. The next prime is 11248674905371. The reversal of 11248674905356 is 65350947684211.

It is a junction number, because it is equal to n+sod(n) for n = 11248674905294 and 11248674905303.

It is not an unprimeable number, because it can be changed into a prime (11248674905353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13394050 + ... + 14209078.

It is an arithmetic number, because the mean of its divisors is an integer number (253311324000).

It is a 1-persistent number, because it is pandigital, but 2⋅11248674905356 = 22497349810712 is not.

Almost surely, 211248674905356 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 11248674905356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158943552000).

11248674905356 is an abundant number, since it is smaller than the sum of its proper divisors (13069212198644).

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

11248674905356 is a wasteful number, since it uses less digits than its factorization.

11248674905356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815831 (or 815829 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 11248674905356 in words is "eleven trillion, two hundred forty-eight billion, six hundred seventy-four million, nine hundred five thousand, three hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 644 667 739 812 1334 1478 2668 2956 4669 5173 9338 10346 16997 18676 20692 21431 33994 42862 67988 85724 118979 150017 237958 300034 475916 492913 600068 815029 985826 1630058 1971652 3260116 3450391 5705203 6900782 11410406 13801564 18745667 22820812 23635841 37491334 47271682 74982668 94543364 131219669 165450887 262439338 330901774 524878676 543624343 602306431 661803548 1087248686 1204612862 2174497372 2409225724 3805370401 4216145017 7610740802 8432290034 13853047913 15221481604 16864580068 17466886499 27706095826 34933772998 55412191652 69867545996 96971335391 122268205493 193942670782 244536410986 387885341564 401738389477 489072821972 803476778954 1606953557908 2812168726339 5624337452678 11248674905356