Search a number
-
+
150836328090000 = 2435547219611093
BaseRepresentation
bin100010010010111101010001…
…110000010100100110010000
3201210001210221001022201100000
4202102331101300110212100
5124232300244442340000
61252445130313330000
743525364552214300
oct4222752160244620
9653053831281300
10150836328090000
1144074366a03733
1214b01111106900
136621a5cc2aa17
142936735401600
1512688ebb90000
hex892f51c14990

150836328090000 has 3600 divisors, whose sum is σ = 681440551471680. Its totient is φ = 32097461760000.

The previous prime is 150836328089977. The next prime is 150836328090017. The reversal of 150836328090000 is 90823638051.

It is a happy number.

150836328090000 is a `hidden beast` number, since 1 + 5 + 0 + 8 + 3 + 632 + 8 + 0 + 9 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 719 ways as a sum of consecutive naturals, for example, 138002129454 + ... + 138002130546.

Almost surely, 2150836328090000 is an apocalyptic number.

150836328090000 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 150836328090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340720275735840).

150836328090000 is an abundant number, since it is smaller than the sum of its proper divisors (530604223381680).

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

150836328090000 is a wasteful number, since it uses less digits than its factorization.

150836328090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 150836328090000 in words is "one hundred fifty trillion, eight hundred thirty-six billion, three hundred twenty-eight million, ninety thousand".