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56515238400 = 293521471751
BaseRepresentation
bin110100101000100100…
…100001101000000000
312101212122101120111210
4310220210201220000
51411220400112100
641543541410120
74040333412615
oct645044415000
9171778346453
1056515238400
1121a714190a5
12ab52a09940
1354387c788a
142a41b4050c
15170b855c50
hexd28921a00

56515238400 has 120 divisors (see below), whose sum is σ = 186694684704. Its totient is φ = 15070720000.

The previous prime is 56515238363. The next prime is 56515238401. The reversal of 56515238400 is 483251565.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (56515238401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 697476 + ... + 774275.

Almost surely, 256515238400 is an apocalyptic number.

56515238400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56515238400 is an abundant number, since it is smaller than the sum of its proper divisors (130179446304).

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

56515238400 is a wasteful number, since it uses less digits than its factorization.

56515238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471782 (or 1471761 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 56515238400 its reverse (483251565), we get a palindrome (56998489965).

The spelling of 56515238400 in words is "fifty-six billion, five hundred fifteen million, two hundred thirty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3840 4800 6400 7680 9600 12800 19200 38400 1471751 2943502 4415253 5887004 7358755 8830506 11774008 14717510 17661012 22076265 23548016 29435020 35322024 36793775 44152530 47096032 58870040 70644048 73587550 88305060 94192064 110381325 117740080 141288096 147175100 176610120 188384128 220762650 235480160 282576192 294350200 353220240 376768256 441525300 470960320 565152384 588700400 706440480 753536512 883050600 941920640 1130304768 1177400800 1412880960 1766101200 1883841280 2260609536 2354801600 2825761920 3532202400 3767682560 4709603200 5651523840 7064404800 9419206400 11303047680 14128809600 18838412800 28257619200 56515238400