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11216382024948 = 22365811107112829
BaseRepresentation
bin1010001100111000010001…
…1101110101110011110100
31110201021102221121110022120
42203032010131311303310
52432232122244244243
635504422413155540
72235233255066112
oct243160435656364
943637387543276
1011216382024948
113634928273a01
12131198778bbb0
136349146b61c9
142aac39230ab2
15146b6ce36c83
hexa3384775cf4

11216382024948 has 48 divisors (see below), whose sum is σ = 26179939752960. Its totient is φ = 3737596867200.

The previous prime is 11216382024941. The next prime is 11216382024971. The reversal of 11216382024948 is 84942028361211.

It is a happy number.

It is a super-3 number, since 3×112163820249483 (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11216382024948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11216382024941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874292598 + ... + 874305426.

It is an arithmetic number, because the mean of its divisors is an integer number (545415411520).

Almost surely, 211216382024948 is an apocalyptic number.

It is an amenable number.

11216382024948 is an abundant number, since it is smaller than the sum of its proper divisors (14963557728012).

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

11216382024948 is a wasteful number, since it uses less digits than its factorization.

11216382024948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30488 (or 30486 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 11216382024948 in words is "eleven trillion, two hundred sixteen billion, three hundred eighty-two million, twenty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 6581 11071 12829 13162 19743 22142 25658 26324 33213 38487 39486 44284 51316 66426 76974 78972 132852 153948 72858251 84427649 142029859 145716502 168855298 218574753 253282947 284059718 291433004 337710596 426089577 437149506 506565894 568119436 852179154 874299012 1013131788 1704358308 934698502079 1869397004158 2804095506237 3738794008316 5608191012474 11216382024948