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150527849472 = 2103473111337
BaseRepresentation
bin1000110000110000101…
…0001011010000000000
3112101112112201001020000
42030030022023100000
54431240112140342
6153052422120000
713606135416000
oct2141412132000
9471475631200
10150527849472
1158925057290
122520b580000
131126ba35720
1473dd916000
153db00e944c
hex230c28b400

150527849472 has 1760 divisors, whose sum is σ = 632493523200. Its totient is φ = 35115171840.

The previous prime is 150527849389. The next prime is 150527849489. The reversal of 150527849472 is 274948725051.

150527849472 is a `hidden beast` number, since 1 + 5 + 0 + 527 + 8 + 49 + 4 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 4068320238 + ... + 4068320274.

It is an arithmetic number, because the mean of its divisors is an integer number (359371320).

Almost surely, 2150527849472 is an apocalyptic number.

150527849472 is a gapful number since it is divisible by the number (12) 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 150527849472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316246761600).

150527849472 is an abundant number, since it is smaller than the sum of its proper divisors (481965673728).

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

150527849472 is a wasteful number, since it uses less digits than its factorization.

150527849472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

It can be divided in two parts, 150527 and 849472, that added together give a palindrome (999999).

The spelling of 150527849472 in words is "one hundred fifty billion, five hundred twenty-seven million, eight hundred forty-nine thousand, four hundred seventy-two".