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5553442440 = 23325721361397
BaseRepresentation
bin1010010110000001…
…01100111010001000
3112100000210002212100
411023000230322020
542333140124230
62315021313400
7254422324200
oct51300547210
915300702770
105553442440
11239a856557
1210aba05860
136a6705c20
143a97a9400
15227829660
hex14b02ce88

5553442440 has 576 divisors, whose sum is σ = 23038994160. Its totient is φ = 1149603840.

The previous prime is 5553442421. The next prime is 5553442457. The reversal of 5553442440 is 442443555.

5553442440 is a `hidden beast` number, since 5 + 553 + 44 + 24 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 497379204 + 5056063236 = 22302^2 + 71106^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5553442395 and 5553442404.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 13988322 + ... + 13988718.

Almost surely, 25553442440 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 5553442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11519497080).

5553442440 is an abundant number, since it is smaller than the sum of its proper divisors (17485551720).

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

5553442440 is a wasteful number, since it uses less digits than its factorization.

5553442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The square root of 5553442440 is about 74521.4226917334. The cubic root of 5553442440 is about 1770.8730347928.

Adding to 5553442440 its reverse (442443555), we get a palindrome (5995885995).

The spelling of 5553442440 in words is "five billion, five hundred fifty-three million, four hundred forty-two thousand, four hundred forty".