Search a number
-
+
248750045537448 = 233713732833550733
BaseRepresentation
bin111000100011110010100010…
…000110100010010010101000
31012121202021100100221120202010
4320203302202012202102220
5230101010043124144243
62241014105432435520
7103252412006310240
oct7043624206422250
91177667310846663
10248750045537448
1172294335895254
1223a95512b48ba0
13a8a504ac0c580
14455d7d0468b20
151db585d666433
hexe23ca21a24a8

248750045537448 has 256 divisors, whose sum is σ = 776144755975680. Its totient is φ = 64682759651328.

The previous prime is 248750045537423. The next prime is 248750045537491. The reversal of 248750045537448 is 844735540057842.

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 63 ways as a sum of consecutive naturals, for example, 451395490 + ... + 451946222.

It is an arithmetic number, because the mean of its divisors is an integer number (3031815453030).

Almost surely, 2248750045537448 is an apocalyptic number.

248750045537448 is a gapful number since it is divisible by the number (28) 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 248750045537448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388072377987840).

248750045537448 is an abundant number, since it is smaller than the sum of its proper divisors (527394710438232).

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

248750045537448 is a wasteful number, since it uses less digits than its factorization.

248750045537448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553668 (or 553664 counting only the distinct ones).

The product of its (nonzero) digits is 602112000, while the sum is 66.

The spelling of 248750045537448 in words is "two hundred forty-eight trillion, seven hundred fifty billion, forty-five million, five hundred thirty-seven thousand, four hundred forty-eight".