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150270354000 = 243253131973463
BaseRepresentation
bin1000101111110011001…
…1111010001001010000
3112100212121011220211200
42023330303322021100
54430223202312000
6153011103111200
713566560635224
oct2137463721120
9470777156750
10150270354000
1158802774108
12251592a2500
131122a59a440
1473b7648784
153d976d4500
hex22fccfa250

150270354000 has 960 divisors, whose sum is σ = 604417981440. Its totient is φ = 34488115200.

The previous prime is 150270353971. The next prime is 150270354001. The reversal of 150270354000 is 453072051.

It is a happy number.

150270354000 is a `hidden beast` number, since 1 + 50 + 2 + 70 + 3 + 540 + 0 + 0 = 666.

150270354000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150270354001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324557769 + ... + 324558231.

It is an arithmetic number, because the mean of its divisors is an integer number (629602064).

Almost surely, 2150270354000 is an apocalyptic number.

150270354000 is a gapful number since it is divisible by the number (10) 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 150270354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302208990720).

150270354000 is an abundant number, since it is smaller than the sum of its proper divisors (454147627440).

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

150270354000 is a wasteful number, since it uses less digits than its factorization.

150270354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The spelling of 150270354000 in words is "one hundred fifty billion, two hundred seventy million, three hundred fifty-four thousand".