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13368707200 = 275213131891
BaseRepresentation
bin11000111001101011…
…00100100010000000
31021111200120200122201
430130311210202000
5204334342112300
610050321442544
7652201064512
oct143465444200
937450520581
1013368707200
115740317652
1227111a0454
1313508a7a44
1490b705bb2
155339d366a
hex31cd64880

13368707200 has 96 divisors (see below), whose sum is σ = 33278026320. Its totient is φ = 5306496000.

The previous prime is 13368707123. The next prime is 13368707203. The reversal of 13368707200 is 270786331.

It is a self number, because there is not a number n which added to its sum of digits gives 13368707200.

It is not an unprimeable number, because it can be changed into a prime (13368707203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403255 + ... + 435145.

Almost surely, 213368707200 is an apocalyptic number.

13368707200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13368707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16639013160).

13368707200 is an abundant number, since it is smaller than the sum of its proper divisors (19909319120).

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

13368707200 is a wasteful number, since it uses less digits than its factorization.

13368707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32046 (or 32029 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 13368707200 in words is "thirteen billion, three hundred sixty-eight million, seven hundred seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 131 160 200 262 320 400 524 640 655 800 1048 1310 1600 2096 2620 3200 3275 4192 5240 6550 8384 10480 13100 16768 20960 26200 31891 41920 52400 63782 83840 104800 127564 159455 209600 255128 318910 419200 510256 637820 797275 1020512 1275640 1594550 2041024 2551280 3189100 4082048 4177721 5102560 6378200 8355442 10205120 12756400 16710884 20410240 20888605 25512800 33421768 41777210 51025600 66843536 83554420 102051200 104443025 133687072 167108840 208886050 267374144 334217680 417772100 534748288 668435360 835544200 1336870720 1671088400 2673741440 3342176800 6684353600 13368707200