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11058219536 = 2471331124421
BaseRepresentation
bin10100100110001111…
…10000101000010000
31001112122222202102112
422103013300220100
5140121401011121
65025144004452
7541014213050
oct122307605020
931478882375
1011058219536
114765093011
122187460728
131073000090
1476c907560
1544ac3e75b
hex2931f0a10

11058219536 has 80 divisors (see below), whose sum is σ = 26455473408. Its totient is φ = 4360435200.

The previous prime is 11058219533. The next prime is 11058219581. The reversal of 11058219536 is 63591285011.

It is a junction number, because it is equal to n+sod(n) for n = 11058219493 and 11058219502.

It is not an unprimeable number, because it can be changed into a prime (11058219533) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 440606 + ... + 465026.

Almost surely, 211058219536 is an apocalyptic number.

11058219536 is a gapful number since it is divisible by the number (16) 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 11058219536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13227736704).

11058219536 is an abundant number, since it is smaller than the sum of its proper divisors (15397253872).

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

11058219536 is a wasteful number, since it uses less digits than its factorization.

11058219536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24760 (or 24754 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The spelling of 11058219536 in words is "eleven billion, fifty-eight million, two hundred nineteen thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 311 364 622 728 1244 1456 2177 2488 4043 4354 4976 8086 8708 16172 17416 24421 28301 32344 34832 48842 56602 64688 97684 113204 170947 195368 226408 317473 341894 390736 452816 634946 683788 1269892 1367576 2222311 2539784 2735152 4444622 5079568 7594931 8889244 15189862 17778488 30379724 35556976 53164517 60759448 98734103 106329034 121518896 197468206 212658068 394936412 425316136 691138721 789872824 850632272 1382277442 1579745648 2764554884 5529109768 11058219536