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54200404000 = 255328148221
BaseRepresentation
bin110010011110100110…
…001000100000100000
312011220022121210200101
4302132212020200200
51342000300412000
640522130432144
73626064555361
oct623646104040
9164808553611
1054200404000
1120a93795816
12a607732654
13515a05a592
1428a252db68
151623503e6a
hexc9e988820

54200404000 has 96 divisors (see below), whose sum is σ = 133647080112. Its totient is φ = 21602560000.

The previous prime is 54200403991. The next prime is 54200404001. The reversal of 54200404000 is 40400245.

It can be written as a sum of positive squares in 8 ways, for example, as 28772496 + 54171631504 = 5364^2 + 232748^2 .

It is not an unprimeable number, because it can be changed into a prime (54200404001) 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 15 ways as a sum of consecutive naturals, for example, 1099890 + ... + 1148110.

Almost surely, 254200404000 is an apocalyptic number.

54200404000 is a gapful number since it is divisible by the number (50) 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 54200404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66823540056).

54200404000 is an abundant number, since it is smaller than the sum of its proper divisors (79446676112).

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

54200404000 is a wasteful number, since it uses less digits than its factorization.

54200404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48527 (or 48509 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

Adding to 54200404000 its reverse (40400245), we get a palindrome (54240804245).

The spelling of 54200404000 in words is "fifty-four billion, two hundred million, four hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 281 400 500 562 800 1000 1124 1405 2000 2248 2810 4000 4496 5620 7025 8992 11240 14050 22480 28100 35125 44960 48221 56200 70250 96442 112400 140500 192884 224800 241105 281000 385768 482210 562000 771536 964420 1124000 1205525 1543072 1928840 2411050 3857680 4822100 6027625 7715360 9644200 12055250 13550101 19288400 24110500 27100202 38576800 48221000 54200404 67750505 96442000 108400808 135501010 192884000 216801616 271002020 338752525 433603232 542004040 677505050 1084008080 1355010100 1693762625 2168016160 2710020200 3387525250 5420040400 6775050500 10840080800 13550101000 27100202000 54200404000