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6713034252800 = 2952229012
BaseRepresentation
bin110000110110000000000…
…0001011010001000000000
3212202202111220021121002212
41201230000001122020000
51334441243232042200
622135531513401252
71262000150442551
oct141540001321000
925682456247085
106713034252800
112158a889110a7
12905045709228
13399062002355
14192cac218328
15b994c4ab035
hex61b0005a200

6713034252800 has 90 divisors (see below), whose sum is σ = 16632793108239. Its totient is φ = 2685096448000.

The previous prime is 6713034252737. The next prime is 6713034252929. The reversal of 6713034252800 is 82524303176.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 6220993732864 + 492040519936 = 2494192^2 + 701456^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1832080.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 293121350 + ... + 293144250.

Almost surely, 26713034252800 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 6713034252800

6713034252800 is an abundant number, since it is smaller than the sum of its proper divisors (9919758855439).

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

6713034252800 is an frugal number, since it uses more digits than its factorization.

6713034252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45830 (or 22908 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

Adding to 6713034252800 its reverse (82524303176), we get a palindrome (6795558555976).

The spelling of 6713034252800 in words is "six trillion, seven hundred thirteen billion, thirty-four million, two hundred fifty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 22901 45802 91604 114505 183208 229010 366416 458020 572525 732832 916040 1145050 1465664 1832080 2290100 2931328 3664160 4580200 5862656 7328320 9160400 11725312 14656640 18320800 29313280 36641600 58626560 73283200 146566400 293132800 524455801 1048911602 2097823204 2622279005 4195646408 5244558010 8391292816 10489116020 13111395025 16782585632 20978232040 26222790050 33565171264 41956464080 52445580100 67130342528 83912928160 104891160200 134260685056 167825856320 209782320400 268521370112 335651712640 419564640800 671303425280 839129281600 1342606850560 1678258563200 3356517126400 6713034252800