Search a number
-
+
4203782200980 = 223251722319333187
BaseRepresentation
bin111101001011000100111…
…100011101111010010100
3112212212200210212002210100
4331023010330131322110
51022333321220412410
612535105121454100
7612466433065125
oct75130474357224
915785623762710
104203782200980
1113808a55073aa
1257a87a1a1330
1324655188c64b
1410766d87c04c
157453b4d18c0
hex3d2c4f1de94

4203782200980 has 288 divisors, whose sum is σ = 13573378151424. Its totient is φ = 1049462894592.

The previous prime is 4203782200951. The next prime is 4203782200993. The reversal of 4203782200980 is 890022873024.

It is a super-2 number, since 2×42037822009802 (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1319038947 + ... + 1319042133.

It is an arithmetic number, because the mean of its divisors is an integer number (47129785248).

Almost surely, 24203782200980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4203782200980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786689075712).

4203782200980 is an abundant number, since it is smaller than the sum of its proper divisors (9369595950444).

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

4203782200980 is a wasteful number, since it uses less digits than its factorization.

4203782200980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4203782200980 in words is "four trillion, two hundred three billion, seven hundred eighty-two million, two hundred thousand, nine hundred eighty".