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153323045344 = 2575397211631
BaseRepresentation
bin1000111011001011000…
…1000000000111100000
3112122202100100201010001
42032302301000013200
510003001144422334
6154234032545344
714035326245050
oct2166261000740
9478670321101
10153323045344
115a029953317
122586b6b2254
13115c5b70091
1475c6c49560
153ec56d5714
hex23b2c401e0

153323045344 has 192 divisors, whose sum is σ = 357357837312. Its totient is φ = 63402393600.

The previous prime is 153323045333. The next prime is 153323045347. The reversal of 153323045344 is 443540323351.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153323045347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242983909 + ... + 242984539.

It is an arithmetic number, because the mean of its divisors is an integer number (1861238736).

Almost surely, 2153323045344 is an apocalyptic number.

153323045344 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 153323045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178678918656).

153323045344 is an abundant number, since it is smaller than the sum of its proper divisors (204034791968).

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

153323045344 is a wasteful number, since it uses less digits than its factorization.

153323045344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

Adding to 153323045344 its reverse (443540323351), we get a palindrome (596863368695).

The spelling of 153323045344 in words is "one hundred fifty-three billion, three hundred twenty-three million, forty-five thousand, three hundred forty-four".