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55399221248 = 211727432
BaseRepresentation
bin110011100110000011…
…010000100000000000
312021222212102000210012
4303212003100200000
51401424200034443
641241113324052
74000562416400
oct634603204000
9167885360705
1055399221248
1121549463978
12a8a1106628
1352bb5295b7
142977832800
1516938a9118
hexce60d0800

55399221248 has 108 divisors (see below), whose sum is σ = 129030178095. Its totient is φ = 23710568448.

The previous prime is 55399221247. The next prime is 55399221259. The reversal of 55399221248 is 84212299355.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 27699610624 + 27699610624 = 166432^2 + 166432^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=166432.

It is a junction number, because it is equal to n+sod(n) for n = 55399221196 and 55399221205.

It is not an unprimeable number, because it can be changed into a prime (55399221247) 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 8 ways as a sum of consecutive naturals, for example, 74561165 + ... + 74561907.

Almost surely, 255399221248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55399221248

55399221248 is an abundant number, since it is smaller than the sum of its proper divisors (73630956847).

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

55399221248 is an frugal number, since it uses more digits than its factorization.

55399221248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 752 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 50.

Multiplying 55399221248 by its sum of digits (50), we get a square (2769961062400 = 16643202).

The spelling of 55399221248 in words is "fifty-five billion, three hundred ninety-nine million, two hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 743 784 896 1024 1486 1568 1792 2048 2972 3136 3584 5201 5944 6272 7168 10402 11888 12544 14336 20804 23776 25088 36407 41608 47552 50176 72814 83216 95104 100352 145628 166432 190208 291256 332864 380416 552049 582512 665728 760832 1104098 1165024 1331456 1521664 2208196 2330048 2662912 3864343 4416392 4660096 5325824 7728686 8832784 9320192 10651648 15457372 17665568 18640384 27050401 30914744 35331136 37280768 54100802 61829488 70662272 74561536 108201604 123658976 141324544 216403208 247317952 282649088 432806416 494635904 565298176 865612832 989271808 1130596352 1731225664 1978543616 3462451328 3957087232 6924902656 7914174464 13849805312 27699610624 55399221248