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150410494080 = 273457311769
BaseRepresentation
bin1000110000010100101…
…0100000000010000000
3112101020100212202220000
42030011022200002000
54431020041302310
6153033030520000
713603212051000
oct2140512400200
9471210782800
10150410494080
1158874891460
1225198206000
1311250626472
1473cc0c8000
153da4b674c0
hex23052a0080

150410494080 has 1280 divisors, whose sum is σ = 684240480000. Its totient is φ = 31213486080.

The previous prime is 150410494079. The next prime is 150410494109. The reversal of 150410494080 is 80494014051.

150410494080 is a `hidden beast` number, since 1 + 50 + 41 + 0 + 494 + 0 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 195591936 + ... + 195592704.

It is an arithmetic number, because the mean of its divisors is an integer number (534562875).

Almost surely, 2150410494080 is an apocalyptic number.

150410494080 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 150410494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342120240000).

150410494080 is an abundant number, since it is smaller than the sum of its proper divisors (533829985920).

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

150410494080 is an equidigital number, since it uses as much as digits as its factorization.

150410494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 150410494080 in words is "one hundred fifty billion, four hundred ten million, four hundred ninety-four thousand, eighty".