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151353600216 = 233721383181659
BaseRepresentation
bin1000110011110101100…
…0001010100011011000
3112110200002111112021220
42030331120022203120
54434433010201331
6153310400532040
713635453242400
oct2147530124330
9473602445256
10151353600216
1159209186015
1225400021020
1311370b33430
14747b465800
153e0c85b296
hex233d60a8d8

151353600216 has 384 divisors, whose sum is σ = 483113030400. Its totient is φ = 39159106560.

The previous prime is 151353600157. The next prime is 151353600247. The reversal of 151353600216 is 612006353151.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 229671295 + ... + 229671953.

It is an arithmetic number, because the mean of its divisors is an integer number (1258106850).

Almost surely, 2151353600216 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 151353600216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241556515200).

151353600216 is an abundant number, since it is smaller than the sum of its proper divisors (331759430184).

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

151353600216 is a wasteful number, since it uses less digits than its factorization.

151353600216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 151353600216 its reverse (612006353151), we get a palindrome (763359953367).

The spelling of 151353600216 in words is "one hundred fifty-one billion, three hundred fifty-three million, six hundred thousand, two hundred sixteen".