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2055012336 = 2433131919259
BaseRepresentation
bin111101001111100…
…1111111111110000
312022012212102222000
41322133033333300
513202040343321
6535530014000
7101632213416
oct17237177760
95265772860
102055012336
11965001203
12494277300
13269999040
14156cd92b6
15c062c826
hex7a7cfff0

2055012336 has 160 divisors (see below), whose sum is σ = 6687072000. Its totient is φ = 599000832.

The previous prime is 2055012331. The next prime is 2055012341. The reversal of 2055012336 is 6332105502.

It is an interprime number because it is at equal distance from previous prime (2055012331) and next prime (2055012341).

It is a super-2 number, since 2×20550123362 = 8446151402224353792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055012331) 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, 97075 + ... + 116333.

It is an arithmetic number, because the mean of its divisors is an integer number (41794200).

Almost surely, 22055012336 is an apocalyptic number.

2055012336 is a gapful number since it is divisible by the number (26) 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 2055012336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343536000).

2055012336 is an abundant number, since it is smaller than the sum of its proper divisors (4632059664).

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

2055012336 is a wasteful number, since it uses less digits than its factorization.

2055012336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19308 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2055012336 is about 45332.2438888701. The cubic root of 2055012336 is about 1271.3685901498.

Adding to 2055012336 its reverse (6332105502), we get a palindrome (8387117838).

The spelling of 2055012336 in words is "two billion, fifty-five million, twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 208 216 228 234 247 304 312 342 351 432 456 468 494 513 624 684 702 741 912 936 988 1026 1368 1404 1482 1872 1976 2052 2223 2736 2808 2964 3952 4104 4446 5616 5928 6669 8208 8892 11856 13338 17784 19259 26676 35568 38518 53352 57777 77036 106704 115554 154072 173331 231108 250367 308144 346662 365921 462216 500734 519993 693324 731842 751101 924432 1001468 1039986 1097763 1386648 1463684 1502202 2002936 2079972 2195526 2253303 2773296 2927368 3004404 3293289 4005872 4159944 4391052 4506606 4756973 5854736 6008808 6586578 6759909 8319888 8782104 9013212 9513946 9879867 12017616 13173156 13519818 14270919 17564208 18026424 19027892 19759734 26346312 27039636 28541838 36052848 38055784 39519468 42812757 52692624 54079272 57083676 76111568 79038936 85625514 108158544 114167352 128438271 158077872 171251028 228334704 256876542 342502056 513753084 685004112 1027506168 2055012336