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13404551200 = 255266125349
BaseRepresentation
bin11000111101111100…
…10011100000100000
31021121012000202101021
430132332103200200
5204423031114300
610054042015224
7653114543125
oct143676234040
937535022337
1013404551200
115759579797
1227211a7514
131358147a01
1491239674c
15536c13d1a
hex31ef93820

13404551200 has 72 divisors (see below), whose sum is σ = 32774660100. Its totient is φ = 5353497600.

The previous prime is 13404551189. The next prime is 13404551203. The reversal of 13404551200 is 215540431.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6069656464 + 7334894736 = 77908^2 + 85644^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13404551203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516126 + ... + 541474.

Almost surely, 213404551200 is an apocalyptic number.

13404551200 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 13404551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16387330050).

13404551200 is an abundant number, since it is smaller than the sum of its proper divisors (19370108900).

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

13404551200 is a wasteful number, since it uses less digits than its factorization.

13404551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26030 (or 26017 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 13404551200 in words is "thirteen billion, four hundred four million, five hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 661 800 1322 2644 3305 5288 6610 10576 13220 16525 21152 25349 26440 33050 50698 52880 66100 101396 105760 126745 132200 202792 253490 264400 405584 506980 528800 633725 811168 1013960 1267450 2027920 2534900 4055840 5069800 10139600 16755689 20279200 33511378 67022756 83778445 134045512 167556890 268091024 335113780 418892225 536182048 670227560 837784450 1340455120 1675568900 2680910240 3351137800 6702275600 13404551200