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153447001344 = 2834721311617
BaseRepresentation
bin1000111011101000100…
…1110110110100000000
3112200001222121022210000
42032322021312310000
510003224413020334
6154254221440000
714041362663600
oct2167211666400
9480058538700
10153447001344
115a09291729a
12258a5110000
1311615750820
1475d94b4c00
153ed151d299
hex23ba276d00

153447001344 has 540 divisors, whose sum is σ = 573245341284. Its totient is φ = 40466055168.

The previous prime is 153447001343. The next prime is 153447001369. The reversal of 153447001344 is 443100744351.

153447001344 is a `hidden beast` number, since 1 + 53 + 4 + 470 + 0 + 134 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36679910400 + 116767090944 = 191520^2 + 341712^2 .

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 = 153447001299 and 153447001308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153447001343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13203024 + ... + 13214640.

Almost surely, 2153447001344 is an apocalyptic number.

153447001344 is a gapful number since it is divisible by the number (14) 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 153447001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286622670642).

153447001344 is an abundant number, since it is smaller than the sum of its proper divisors (419798339940).

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

153447001344 is a wasteful number, since it uses less digits than its factorization.

153447001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11672 (or 11642 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 153447001344 its reverse (443100744351), we get a palindrome (596547745695).

The spelling of 153447001344 in words is "one hundred fifty-three billion, four hundred forty-seven million, one thousand, three hundred forty-four".