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2261067383512 = 2371723106197327
BaseRepresentation
bin100000111001110010000…
…111100100001011011000
322000011012200012001010101
4200321302013210023120
5244021131222233022
64450415305025144
7322233233436040
oct40716207441330
98004180161111
102261067383512
117a1a05657083
12306262a851b4
131352aa4b14b2
147b6170b2720
153dc37746627
hex20e721e42d8

2261067383512 has 128 divisors (see below), whose sum is σ = 5358303498240. Its totient is φ = 871542650880.

The previous prime is 2261067383507. The next prime is 2261067383513. The reversal of 2261067383512 is 2153837601622.

It is a super-2 number, since 2×22610673835122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261067383513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23182993 + ... + 23280319.

It is an arithmetic number, because the mean of its divisors is an integer number (41861746080).

Almost surely, 22261067383512 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 2261067383512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679151749120).

2261067383512 is an abundant number, since it is smaller than the sum of its proper divisors (3097236114728).

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

2261067383512 is a wasteful number, since it uses less digits than its factorization.

2261067383512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98441 (or 98437 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 2261067383512 in words is "two trillion, two hundred sixty-one billion, sixty-seven million, three hundred eighty-three thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 322 391 476 644 782 952 1061 1288 1564 2122 2737 3128 4244 5474 7427 8488 10948 14854 18037 21896 24403 29708 36074 48806 59416 72148 97327 97612 126259 144296 170821 194654 195224 252518 341642 389308 414851 505036 681289 683284 778616 829702 1010072 1362578 1366568 1654559 1659404 2238521 2725156 2903957 3309118 3318808 4477042 5450312 5807914 6618236 8954084 11581913 11615828 13236472 15669647 17908168 23163826 23231656 31339294 38054857 46327652 62678588 76109714 92655304 103263947 125357176 152219428 206527894 266383999 304438856 413055788 532767998 722847629 826111576 1065535996 1445695258 1755487099 2131071992 2375070781 2891390516 3510974198 4750141562 5782781032 7021948396 9500283124 12288409693 14043896792 16625495467 19000566248 24576819386 33250990934 40376203277 49153638772 66501981868 80752406554 98307277544 133003963736 161504813108 282633422939 323009626216 565266845878 1130533691756 2261067383512