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2125444104 = 233372948473
BaseRepresentation
bin111111010101111…
…1011010000001000
312111010101202012000
41332223323100020
513323103202404
6550523351000
7103445656020
oct17653732010
95433352160
102125444104
119a0837683
124b3982460
1327b459244
141623d0a80
15c68e1339
hex7eafb408

2125444104 has 128 divisors (see below), whose sum is σ = 6980256000. Its totient is φ = 586317312.

The previous prime is 2125444081. The next prime is 2125444109. The reversal of 2125444104 is 4014445212.

2125444104 is a `hidden beast` number, since 2 + 12 + 544 + 4 + 104 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2125444109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19612 + ... + 68084.

It is an arithmetic number, because the mean of its divisors is an integer number (54533250).

Almost surely, 22125444104 is an apocalyptic number.

2125444104 is a gapful number since it is divisible by the number (24) 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 2125444104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490128000).

2125444104 is an abundant number, since it is smaller than the sum of its proper divisors (4854811896).

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

2125444104 is a wasteful number, since it uses less digits than its factorization.

2125444104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48524 (or 48514 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2125444104 is about 46102.5390190172. The cubic root of 2125444104 is about 1285.7303511643.

Adding to 2125444104 its reverse (4014445212), we get a palindrome (6139889316).

The spelling of 2125444104 in words is "two billion, one hundred twenty-five million, four hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3654 4872 5481 6264 7308 10962 14616 21924 43848 48473 96946 145419 193892 290838 339311 387784 436257 581676 678622 872514 1017933 1163352 1308771 1357244 1405717 1745028 2035866 2617542 2714488 2811434 3053799 3490056 4071732 4217151 5235084 5622868 6107598 8143464 8434302 9161397 9840019 10470168 11245736 12215196 12651453 16868604 18322794 19680038 24430392 25302906 29520057 33737208 36645588 37954359 39360076 50605812 59040114 73291176 75908718 78720152 88560171 101211624 118080228 151817436 177120342 236160456 265680513 303634872 354240684 531361026 708481368 1062722052 2125444104