Search a number
-
+
4451991552000 = 22133531737
BaseRepresentation
bin100000011001000111101…
…1000000000000000000000
3120202121100221112120022000
41000302033120000000000
51040420134314131000
613245114445344000
7636434333544666
oct100621730000000
916677327476260
104451991552000
111467096193563
125ba9aab68000
13263a89983815
1411569852cc36
157ac16edd000
hex40c8f600000

4451991552000 has 1408 divisors, whose sum is σ = 17901956292480. Its totient is φ = 1087163596800.

The previous prime is 4451991551993. The next prime is 4451991552053. The reversal of 4451991552000 is 2551991544.

4451991552000 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 9 + 91 + 552 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120324095982 + ... + 120324096018.

Almost surely, 24451991552000 is an apocalyptic number.

4451991552000 is a gapful number since it is divisible by the number (40) 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 4451991552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8950978146240).

4451991552000 is an abundant number, since it is smaller than the sum of its proper divisors (13449964740480).

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

4451991552000 is an frugal number, since it uses more digits than its factorization.

4451991552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 4451991552000 in words is "four trillion, four hundred fifty-one billion, nine hundred ninety-one million, five hundred fifty-two thousand".