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2492963103744 = 21032164472
BaseRepresentation
bin100100010001110000001…
…011100010010000000000
322211022202212220012021100
4210101300023202100000
5311321042023304434
65145130151054400
7345052643515041
oct44216013422000
98738685805240
102492963103744
11881294753a43
123431a0371400
1315111585b2b9
14889352b08c8
1544caae59699
hex244702e2400

2492963103744 has 99 divisors (see below), whose sum is σ = 7198814559027. Its totient is φ = 830937176064.

The previous prime is 2492963103679. The next prime is 2492963103767. The reversal of 2492963103744 is 4473013692942.

The square root of 2492963103744 is 1578912.

It is a perfect power (a square), and thus also a powerful number.

2492963103744 is a `hidden beast` number, since 2 + 4 + 9 + 296 + 310 + 37 + 4 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 151567329 + ... + 151583775.

Almost surely, 22492963103744 is an apocalyptic number.

2492963103744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2492963103744 is the 1578912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492963103744

2492963103744 is an abundant number, since it is smaller than the sum of its proper divisors (4705851455283).

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

2492963103744 is an frugal number, since it uses more digits than its factorization.

2492963103744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32920 (or 16452 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2492963103744 in words is "two trillion, four hundred ninety-two billion, nine hundred sixty-three million, one hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 16447 32894 49341 65788 98682 131576 148023 197364 263152 296046 394728 526304 592092 789456 1052608 1184184 1578912 2105216 2368368 3157824 4210432 4736736 6315648 8420864 9473472 12631296 16841728 18946944 25262592 37893888 50525184 75787776 151575552 270503809 541007618 811511427 1082015236 1623022854 2164030472 2434534281 3246045708 4328060944 4869068562 6492091416 8656121888 9738137124 12984182832 17312243776 19476274248 25968365664 34624487552 38952548496 51936731328 69248975104 77905096992 103873462656 138497950208 155810193984 207746925312 276995900416 311620387968 415493850624 623240775936 830987701248 1246481551872 2492963103744