Search a number
-
+
5763985920000 = 2123454711192
BaseRepresentation
bin101001111100000100001…
…0101010101000000000000
3202102000212002102001020000
41103320020111111000000
51223414120343420000
620131534422120000
71133301641635320
oct123701025250000
922360762361200
105763985920000
11192254686a980
12791123280000
1332a7069c0119
1415cd9aa6b280
159ee03e20000
hex53e08555000

5763985920000 has 3900 divisors, whose sum is σ = 28311934106016. Its totient is φ = 1134673920000.

The previous prime is 5763985919983. The next prime is 5763985920023. The reversal of 5763985920000 is 295893675.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 303367679991 + ... + 303367680009.

Almost surely, 25763985920000 is an apocalyptic number.

5763985920000 is a gapful number since it is divisible by the number (50) 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 5763985920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155967053008).

5763985920000 is an abundant number, since it is smaller than the sum of its proper divisors (22547948186016).

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

5763985920000 is an equidigital number, since it uses as much as digits as its factorization.

5763985920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 5763985920000 in words is "five trillion, seven hundred sixty-three billion, nine hundred eighty-five million, nine hundred twenty thousand".