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150552380160 = 28385713197
BaseRepresentation
bin1000110000110110011…
…1110000001100000000
3112101121020212100000000
42030031213300030000
54431312402131120
6153055100000000
713606554055020
oct2141547601400
9471536770000
10150552380160
1158937991586
1225217830000
1311273b44120
147402c9da80
153db2342990
hex230d9f0300

150552380160 has 1296 divisors, whose sum is σ = 669105493056. Its totient is φ = 31603654656.

The previous prime is 150552380159. The next prime is 150552380207. The reversal of 150552380160 is 61083255051.

It is a happy number.

150552380160 is a `hidden beast` number, since 1 + 50 + 5 + 523 + 80 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 764225182 + ... + 764225378.

Almost surely, 2150552380160 is an apocalyptic number.

150552380160 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 150552380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334552746528).

150552380160 is an abundant number, since it is smaller than the sum of its proper divisors (518553112896).

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

150552380160 is an frugal number, since it uses more digits than its factorization.

150552380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 150552380160 in words is "one hundred fifty billion, five hundred fifty-two million, three hundred eighty thousand, one hundred sixty".