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2042549932500 = 2233547211311811
BaseRepresentation
bin11101101110010001011…
…101101001000111010100
321020021011211001101021000
4131232101131221013110
5231431120240320000
64202200125423300
7300366201651300
oct35562135510724
97207154041230
102042549932500
11718271207960
1228ba39a0ab30
1311a7c49a981c
1470c07988d00
15381e87a5000
hex1db917691d4

2042549932500 has 1440 divisors, whose sum is σ = 8673079726080. Its totient is φ = 410508000000.

The previous prime is 2042549932483. The next prime is 2042549932519. The reversal of 2042549932500 is 52399452402.

2042549932500 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 54 + 9 + 93 + 2 + 500 = 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 479 ways as a sum of consecutive naturals, for example, 1127856595 + ... + 1127858405.

It is an arithmetic number, because the mean of its divisors is an integer number (6022972032).

Almost surely, 22042549932500 is an apocalyptic number.

2042549932500 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 2042549932500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336539863040).

2042549932500 is an abundant number, since it is smaller than the sum of its proper divisors (6630529793580).

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

2042549932500 is a wasteful number, since it uses less digits than its factorization.

2042549932500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2042549932500 in words is "two trillion, forty-two billion, five hundred forty-nine million, nine hundred thirty-two thousand, five hundred".