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6550400400 = 243525458667
BaseRepresentation
bin1100001100110111…
…10010110110010000
3121220111201211002020
412012123302312100
5101403400303100
63001553451440
7321216325155
oct60633626620
917814654066
106550400400
112861591855
121329870b80
1380511958b
14461d6422c
152851095a0
hex1866f2d90

6550400400 has 60 divisors (see below), whose sum is σ = 20983119792. Its totient is φ = 1746773120.

The previous prime is 6550400377. The next prime is 6550400411. The reversal of 6550400400 is 40040556.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2728134 + ... + 2730533.

Almost surely, 26550400400 is an apocalyptic number.

6550400400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6550400400 is an abundant number, since it is smaller than the sum of its proper divisors (14432719392).

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

6550400400 is a wasteful number, since it uses less digits than its factorization.

6550400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458688 (or 5458677 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 6550400400 is about 80934.5439228516. The cubic root of 6550400400 is about 1871.0667557729.

Adding to 6550400400 its reverse (40040556), we get a palindrome (6590440956).

The spelling of 6550400400 in words is "six billion, five hundred fifty million, four hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 5458667 10917334 16376001 21834668 27293335 32752002 43669336 54586670 65504004 81880005 87338672 109173340 131008008 136466675 163760010 218346680 262016016 272933350 327520020 409400025 436693360 545866700 655040040 818800050 1091733400 1310080080 1637600100 2183466800 3275200200 6550400400