Search a number
-
+
20333755361280 = 211351969933601
BaseRepresentation
bin1001001111110010100100…
…10000111110100000000000
32122222212222101001112222210
410213321102100332200000
510131122012333030110
6111125110453502120
74166031261544254
oct447712220764000
978885871045883
1020333755361280
11652a55188a929
122344999641940
13b46607512aaa
1450423247a264
15253ddabbd520
hex127e5243e800

20333755361280 has 192 divisors, whose sum is σ = 65057369832000. Its totient is φ = 5421898137600.

The previous prime is 20333755361239. The next prime is 20333755361329. The reversal of 20333755361280 is 8216355733302.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605136480 + ... + 605170080.

It is an arithmetic number, because the mean of its divisors is an integer number (338840467875).

Almost surely, 220333755361280 is an apocalyptic number.

20333755361280 is a gapful number since it is divisible by the number (20) 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 20333755361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32528684916000).

20333755361280 is an abundant number, since it is smaller than the sum of its proper divisors (44723614470720).

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

20333755361280 is a wasteful number, since it uses less digits than its factorization.

20333755361280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53330 (or 53310 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 20333755361280 in words is "twenty trillion, three hundred thirty-three billion, seven hundred fifty-five million, three hundred sixty-one thousand, two hundred eighty".