Search a number
-
+
20146315061250 = 232547373368531
BaseRepresentation
bin1001001010010101011011…
…11100111110100000000010
32122022222011100001201212100
410211022231330332200002
510120034123123430000
6110503031145411230
74146344316355320
oct445125574764002
978288140051770
1020146315061250
116468005703164
1223145a8199b16
13b31a352b3a61
144d913046cd10
1524e0ba1c6a00
hex1252adf3e802

20146315061250 has 240 divisors, whose sum is σ = 62355296367936. Its totient is φ = 4603571280000.

The previous prime is 20146315061233. The next prime is 20146315061267. The reversal of 20146315061250 is 5216051364102.

20146315061250 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 6 + 31 + 5 + 0 + 612 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20146315061233) and next prime (20146315061267).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 293939485 + ... + 294008015.

Almost surely, 220146315061250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20146315061250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31177648183968).

20146315061250 is an abundant number, since it is smaller than the sum of its proper divisors (42208981306686).

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

20146315061250 is a wasteful number, since it uses less digits than its factorization.

20146315061250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72299 (or 72281 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 20146315061250 in words is "twenty trillion, one hundred forty-six billion, three hundred fifteen million, sixty-one thousand, two hundred fifty".