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13063309062400 = 2852451792
BaseRepresentation
bin1011111000011000100111…
…1001010111000100000000
31201020211200110200010021101
42332012021321113010000
53203012124104444100
643441111253304144
72515535655634342
oct276061171270400
951224613603241
1013063309062400
114187133451373
12156b90b935054
13739b31b4b79c
143323a6173292
15179c1767c86a
hexbe189e57100

13063309062400 has 81 divisors (see below), whose sum is σ = 32334446767861. Its totient is φ = 5225207966720.

The previous prime is 13063309062373. The next prime is 13063309062409. The reversal of 13063309062400 is 426090336031.

The square root of 13063309062400 is 3614320.

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

It can be written as a sum of positive squares in only one way, i.e., 4702791262464 + 8360517799936 = 2168592^2 + 2891456^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13063309062400.

It is not an unprimeable number, because it can be changed into a prime (13063309062409) 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 8 ways as a sum of consecutive naturals, for example, 289123011 + ... + 289168189.

Almost surely, 213063309062400 is an apocalyptic number.

13063309062400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13063309062400 is the 3614320-th square number.

It is an amenable number.

13063309062400 is an abundant number, since it is smaller than the sum of its proper divisors (19271137705461).

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

13063309062400 is an frugal number, since it uses more digits than its factorization.

13063309062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90384 (or 45186 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

Adding to 13063309062400 its reverse (426090336031), we get a palindrome (13489399398431).

The spelling of 13063309062400 in words is "thirteen trillion, sixty-three billion, three hundred nine million, sixty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 640 800 1280 1600 3200 6400 45179 90358 180716 225895 361432 451790 722864 903580 1129475 1445728 1807160 2258950 2891456 3614320 4517900 5782912 7228640 9035800 11565824 14457280 18071600 28914560 36143200 57829120 72286400 144572800 289145600 2041142041 4082284082 8164568164 10205710205 16329136328 20411420410 32658272656 40822840820 51028551025 65316545312 81645681640 102057102050 130633090624 163291363280 204114204100 261266181248 326582726560 408228408200 522532362496 653165453120 816456816400 1306330906240 1632913632800 2612661812480 3265827265600 6531654531200 13063309062400