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150985012248 = 233271953521571
BaseRepresentation
bin1000110010011101101…
…0000111010000011000
3112102201101221022122200
42030213122013100120
54433204130342443
6153210032450200
713623356300040
oct2144732072030
9472641838580
10150985012248
115903a115464
12253186a9960
131131266c745
14744451a720
153dda2eedd3
hex2327687418

150985012248 has 384 divisors, whose sum is σ = 503054323200. Its totient is φ = 39949977600.

The previous prime is 150985012231. The next prime is 150985012249. The reversal of 150985012248 is 842210589051.

150985012248 is a `hidden beast` number, since 1 + 50 + 98 + 501 + 2 + 2 + 4 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150985012249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264421803 + ... + 264422373.

It is an arithmetic number, because the mean of its divisors is an integer number (1310037300).

Almost surely, 2150985012248 is an apocalyptic number.

150985012248 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 150985012248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251527161600).

150985012248 is an abundant number, since it is smaller than the sum of its proper divisors (352069310952).

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

150985012248 is a wasteful number, since it uses less digits than its factorization.

150985012248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 150985012248 in words is "one hundred fifty billion, nine hundred eighty-five million, twelve thousand, two hundred forty-eight".