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11351809638 = 235133734817
BaseRepresentation
bin10101001001001111…
…01101111001100110
31002022010102200100000
422210213231321212
5141222030402023
65114232402130
7551210534631
oct124447557146
932263380300
1011351809638
1148a5889664
122249846346
1310bba95430
147998ccc18
154668d4243
hex2a49ede66

11351809638 has 96 divisors (see below), whose sum is σ = 27547936416. Its totient is φ = 3482777088.

The previous prime is 11351809631. The next prime is 11351809661. The reversal of 11351809638 is 83690815311.

It is a happy number.

11351809638 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 1 + 8 + 0 + 9 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11351809593 and 11351809602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11351809631) 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 47 ways as a sum of consecutive naturals, for example, 2354206 + ... + 2359022.

It is an arithmetic number, because the mean of its divisors is an integer number (286957671).

Almost surely, 211351809638 is an apocalyptic number.

11351809638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11351809638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773968208).

11351809638 is an abundant number, since it is smaller than the sum of its proper divisors (16196126778).

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

11351809638 is a wasteful number, since it uses less digits than its factorization.

11351809638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11351809638 in words is "eleven billion, three hundred fifty-one million, eight hundred nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 373 486 702 746 1053 1119 2106 2238 3159 3357 4817 4849 6318 6714 9634 9698 10071 14451 14547 20142 28902 29094 30213 43353 43641 60426 62621 86706 87282 90639 125242 130059 130923 181278 187863 260118 261846 375726 390177 392769 563589 780354 785538 1127178 1170531 1178307 1690767 1796741 2341062 2356614 3381534 3593482 5072301 5390223 10144602 10780446 15216903 16170669 23357633 30433806 32341338 46715266 48512007 70072899 97024014 140145798 145536021 210218697 291072042 420437394 436608063 630656091 873216126 1261312182 1891968273 3783936546 5675904819 11351809638