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27134411200 = 2652131304539
BaseRepresentation
bin11001010001010101…
…100100000111000000
32121001001011220112121
4121101111210013000
5421032402124300
620244304334024
71650262455361
oct312125440700
977031156477
1027134411200
1110564738826
125313314314
1327357b2120
141455a2db68
15a8c28581a
hex6515641c0

27134411200 has 84 divisors (see below), whose sum is σ = 71903635720. Its totient is φ = 10018851840.

The previous prime is 27134411189. The next prime is 27134411201. The reversal of 27134411200 is 211443172.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27134411201) 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, 631470 + ... + 673069.

Almost surely, 227134411200 is an apocalyptic number.

27134411200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27134411200 is an abundant number, since it is smaller than the sum of its proper divisors (44769224520).

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

27134411200 is a wasteful number, since it uses less digits than its factorization.

27134411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304574 (or 1304559 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 27134411200 its reverse (211443172), we get a palindrome (27345854372).

The spelling of 27134411200 in words is "twenty-seven billion, one hundred thirty-four million, four hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 200 208 260 320 325 400 416 520 650 800 832 1040 1300 1600 2080 2600 4160 5200 10400 20800 1304539 2609078 5218156 6522695 10436312 13045390 16959007 20872624 26090780 32613475 33918014 41745248 52181560 65226950 67836028 83490496 84795035 104363120 130453900 135672056 169590070 208726240 260907800 271344112 339180140 417452480 423975175 521815600 542688224 678360280 847950350 1043631200 1085376448 1356720560 1695900700 2087262400 2713441120 3391801400 5426882240 6783602800 13567205600 27134411200