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13552054230400 = 27527605002421
BaseRepresentation
bin1100010100110101010101…
…1000001101110110000000
31202222120012221221010111021
43011031111120031312000
53234014101340333100
644453421110355224
72566050352212520
oct305152530156600
952876187833437
1013552054230400
114355437347a14
12162a58b65bb14
13773c5132a04a
1434bccc70d680
151877c0185a1a
hexc535560dd80

13552054230400 has 96 divisors (see below), whose sum is σ = 38260353167280. Its totient is φ = 4646418585600.

The previous prime is 13552054230349. The next prime is 13552054230401. The reversal of 13552054230400 is 403245025531.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13552054230401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302478811 + ... + 302523610.

Almost surely, 213552054230400 is an apocalyptic number.

13552054230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13552054230400 is an abundant number, since it is smaller than the sum of its proper divisors (24708298936880).

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

13552054230400 is an equidigital number, since it uses as much as digits as its factorization.

13552054230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605002452 (or 605002435 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 13552054230400 its reverse (403245025531), we get a palindrome (13955299255931).

The spelling of 13552054230400 in words is "thirteen trillion, five hundred fifty-two billion, fifty-four million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 280 320 350 400 448 560 640 700 800 896 1120 1400 1600 2240 2800 3200 4480 5600 11200 22400 605002421 1210004842 2420009684 3025012105 4235016947 4840019368 6050024210 8470033894 9680038736 12100048420 15125060525 16940067788 19360077472 21175084735 24200096840 30250121050 33880135576 38720154944 42350169470 48400193680 60500242100 67760271152 77440309888 84700338940 96800387360 105875423675 121000484200 135520542304 169400677880 193600774720 211750847350 242000968400 271041084608 338801355760 387201549440 423501694700 484001936800 542082169216 677602711520 847003389400 968003873600 1355205423040 1694006778800 1936007747200 2710410846080 3388013557600 6776027115200 13552054230400