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150233827968 = 27327712571021
BaseRepresentation
bin1000101111101010100…
…0100100101010000000
3112100210001110012112200
42023322220210222000
54430134324443333
6153003320153200
713565635316310
oct2137250445200
9470701405480
10150233827968
1158794096604
1225149008800
1311222b4bbc3
1473b285b440
153d943bbc13
hex22faa24a80

150233827968 has 384 divisors, whose sum is σ = 503473501440. Its totient is φ = 42113433600.

The previous prime is 150233827957. The next prime is 150233828117. The reversal of 150233827968 is 869728332051.

150233827968 is a `hidden beast` number, since 1 + 502 + 3 + 3 + 8 + 2 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147143298 + ... + 147144318.

It is an arithmetic number, because the mean of its divisors is an integer number (1311128910).

Almost surely, 2150233827968 is an apocalyptic number.

150233827968 is a gapful number since it is divisible by the number (18) 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 150233827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251736750720).

150233827968 is an abundant number, since it is smaller than the sum of its proper divisors (353239673472).

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

150233827968 is a wasteful number, since it uses less digits than its factorization.

150233827968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 150233827968 in words is "one hundred fifty billion, two hundred thirty-three million, eight hundred twenty-seven thousand, nine hundred sixty-eight".