Search a number
-
+
2039961311550 = 234525915754377
BaseRepresentation
bin11101101011110111001…
…010110101100100111110
321020000111102002210220000
4131223313022311210332
5231410320043432200
64201051214335130
7300245100022401
oct35536712654476
97200442083800
102039961311550
11717162a846a8
1228b436aba4a6
1311a4a15bc056
1470a3dc69d38
15380e63c1300
hex1daf72b593e

2039961311550 has 240 divisors, whose sum is σ = 5800960210320. Its totient is φ = 531353571840.

The previous prime is 2039961311543. The next prime is 2039961311617. The reversal of 2039961311550 is 551131699302.

2039961311550 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 9 + 61 + 31 + 1 + 550 = 666.

It is a super-2 number, since 2×20399613115502 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2039961311496 and 2039961311505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37487962 + ... + 37542338.

It is an arithmetic number, because the mean of its divisors is an integer number (24170667543).

Almost surely, 22039961311550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2039961311550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900480105160).

2039961311550 is an abundant number, since it is smaller than the sum of its proper divisors (3760998898770).

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

2039961311550 is a wasteful number, since it uses less digits than its factorization.

2039961311550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54617 (or 54603 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 2039961311550 in words is "two trillion, thirty-nine billion, nine hundred sixty-one million, three hundred eleven thousand, five hundred fifty".