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2011003413344 = 25175997645937
BaseRepresentation
bin11101010000111001001…
…001001110001101100000
321010020202021201011102122
4131100321021032031200
5230422013333211334
64135501530203412
7265201352655242
oct35207111161540
97106667634378
102011003413344
11705953000122
122858b4b83568
131178380b5543
146d493dac092
153749dee332e
hex1d43924e360

2011003413344 has 96 divisors (see below), whose sum is σ = 4307062908960. Its totient is φ = 920722341888.

The previous prime is 2011003413343. The next prime is 2011003413401. The reversal of 2011003413344 is 4433143001102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011003413343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2790344 + ... + 3436280.

It is an arithmetic number, because the mean of its divisors is an integer number (44865238635).

Almost surely, 22011003413344 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 2011003413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153531454480).

2011003413344 is an abundant number, since it is smaller than the sum of its proper divisors (2296059495616).

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

2011003413344 is a wasteful number, since it uses less digits than its factorization.

2011003413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646120 (or 646112 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 2011003413344 its reverse (4433143001102), we get a palindrome (6444146414446).

The spelling of 2011003413344 in words is "two trillion, eleven billion, three million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 59 68 97 118 136 194 236 272 388 472 544 776 944 1003 1552 1649 1888 2006 3104 3298 4012 5723 6596 8024 11446 13192 16048 22892 26384 32096 45784 52768 91568 97291 183136 194582 389164 645937 778328 1291874 1556656 2583748 3113312 5167496 10334992 10980929 20669984 21961858 38110283 43923716 62655889 76220566 87847432 125311778 152441132 175694864 250623556 304882264 351389728 501247112 609764528 647874811 1002494224 1065150113 1219529056 1295749622 2004988448 2130300226 2591499244 3696697451 4260600452 5182998488 7393394902 8521200904 10365996976 14786789804 17042401808 20731993952 29573579608 34084803616 59147159216 62843856667 118294318432 125687713334 251375426668 502750853336 1005501706672 2011003413344