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150164340480 = 2833571173773
BaseRepresentation
bin1000101111011001111…
…1011111111100000000
3112100121012200212122000
42023312133133330000
54430014032343410
6152552354544000
713564132556010
oct2136637377400
9470535625560
10150164340480
1158758945630
1225129898000
131121162c74b
1473a752dc40
153d8d242dc0
hex22f67dff00

150164340480 has 1152 divisors, whose sum is σ = 674335549440. Its totient is φ = 30735728640.

The previous prime is 150164340461. The next prime is 150164340499. The reversal of 150164340480 is 84043461051.

150164340480 is a `hidden beast` number, since 1 + 5 + 0 + 1 + 643 + 4 + 0 + 4 + 8 + 0 = 666.

150164340480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150164340461) and next prime (150164340499).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194261374 + ... + 194262146.

It is an arithmetic number, because the mean of its divisors is an integer number (585360720).

Almost surely, 2150164340480 is an apocalyptic number.

150164340480 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 150164340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337167774720).

150164340480 is an abundant number, since it is smaller than the sum of its proper divisors (524171208960).

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

150164340480 is a wasteful number, since it uses less digits than its factorization.

150164340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 150164340480 in words is "one hundred fifty billion, one hundred sixty-four million, three hundred forty thousand, four hundred eighty".