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2104253856 = 25331272151
BaseRepresentation
bin111110101101100…
…0101110110100000
312102122112011122000
41331123011312200
513302142110411
6544445244000
7103100601615
oct17533056640
95378464560
102104253856
1198a884081
124a8863600
13276c4a133
1415d67650c
15c4b07956
hex7d6c5da0

2104253856 has 144 divisors (see below), whose sum is σ = 6227081280. Its totient is φ = 691286400.

The previous prime is 2104253843. The next prime is 2104253881. The reversal of 2104253856 is 6583524012.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2104253856.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13935381 + ... + 13935531.

It is an arithmetic number, because the mean of its divisors is an integer number (43243620).

Almost surely, 22104253856 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 2104253856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113540640).

2104253856 is an abundant number, since it is smaller than the sum of its proper divisors (4122827424).

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

2104253856 is a wasteful number, since it uses less digits than its factorization.

2104253856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2104253856 is about 45872.1468431553. The cubic root of 2104253856 is about 1281.4432483734.

Adding to 2104253856 its reverse (6583524012), we get a palindrome (8687777868).

The spelling of 2104253856 in words is "two billion, one hundred four million, two hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 151 216 254 288 302 381 432 453 508 604 762 864 906 1016 1143 1208 1359 1524 1812 2032 2286 2416 2718 3048 3429 3624 4064 4077 4572 4832 5436 6096 6858 7248 8154 9144 10872 12192 13716 14496 16129 16308 18288 19177 21744 27432 32258 32616 36576 38354 43488 48387 54864 57531 64516 65232 76708 96774 109728 115062 129032 130464 145161 153416 172593 193548 230124 258064 290322 306832 345186 387096 435483 460248 516128 517779 580644 613664 690372 774192 870966 920496 1035558 1161288 1380744 1548384 1741932 1840992 2071116 2322576 2435479 2761488 3483864 4142232 4645152 4870958 5522976 6967728 7306437 8284464 9741916 13935456 14612874 16568928 19483832 21919311 29225748 38967664 43838622 58451496 65757933 77935328 87677244 116902992 131515866 175354488 233805984 263031732 350708976 526063464 701417952 1052126928 2104253856