Search a number
-
+
2450153241000 = 2332531217223697
BaseRepresentation
bin100011101001111000100…
…000110111100110101000
322200020021101120211201100
4203221320200313212220
5310120403212203000
65113330155121400
7342006036630423
oct43517040674650
98606241524640
102450153241000
118651166a1493
12336a33443260
1314a08260757a
14868338729ba
1543b0293aa00
hex23a788379a8

2450153241000 has 192 divisors, whose sum is σ = 8288359868880. Its totient is φ = 652834406400.

The previous prime is 2450153240989. The next prime is 2450153241031. The reversal of 2450153241000 is 1423510542.

2450153241000 is a `hidden beast` number, since 2 + 4 + 501 + 53 + 2 + 4 + 100 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28201828356 + 2421951412644 = 167934^2 + 1556262^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10841152 + ... + 11064848.

Almost surely, 22450153241000 is an apocalyptic number.

2450153241000 is a gapful number since it is divisible by the number (20) 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 2450153241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144179934440).

2450153241000 is an abundant number, since it is smaller than the sum of its proper divisors (5838206627880).

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

2450153241000 is a wasteful number, since it uses less digits than its factorization.

2450153241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224941 (or 224924 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 2450153241000 its reverse (1423510542), we get a palindrome (2451576751542).

The spelling of 2450153241000 in words is "two trillion, four hundred fifty billion, one hundred fifty-three million, two hundred forty-one thousand".