Search a number
-
+
4248053444250 = 2345372113767157
BaseRepresentation
bin111101110100010011101…
…101110110111010011010
3120001002222011000021120000
4331310103231312322122
51024100003140204000
613011310120113430
7615624503332200
oct75642355667232
916032864007500
104248053444250
111398653471760
12587374605876
1324a788803295
1410986d409070
157577ce6c000
hex3dd13b76e9a

4248053444250 has 1920 divisors, whose sum is σ = 15813824742144. Its totient is φ = 840647808000.

The previous prime is 4248053444231. The next prime is 4248053444293. The reversal of 4248053444250 is 524443508424.

4248053444250 is a `hidden beast` number, since 4 + 24 + 8 + 0 + 534 + 4 + 42 + 50 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4248053444196 and 4248053444205.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 27057665172 + ... + 27057665328.

Almost surely, 24248053444250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4248053444250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7906912371072).

4248053444250 is an abundant number, since it is smaller than the sum of its proper divisors (11565771297894).

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

4248053444250 is a wasteful number, since it uses less digits than its factorization.

4248053444250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

The spelling of 4248053444250 in words is "four trillion, two hundred forty-eight billion, fifty-three million, four hundred forty-four thousand, two hundred fifty".