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2049149432772 = 2233132961825047
BaseRepresentation
bin11101110100011010110…
…100101111001111000100
321020220012202011201201000
4131310122310233033010
5232033124223322042
64205211035533300
7301021555535001
oct35643264571704
97226182151630
102049149432772
11720048485112
1229117bbba230
1311b307027880
14712722508a8
1538482d5c74c
hex1dd1ad2f3c4

2049149432772 has 192 divisors, whose sum is σ = 6015589977600. Its totient is φ = 598785384960.

The previous prime is 2049149432767. The next prime is 2049149432779. The reversal of 2049149432772 is 2772349419402.

2049149432772 is a `hidden beast` number, since 2 + 0 + 491 + 49 + 43 + 2 + 7 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2049149432779) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2071153 + ... + 2896199.

It is an arithmetic number, because the mean of its divisors is an integer number (31331197800).

Almost surely, 22049149432772 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 2049149432772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007794988800).

2049149432772 is an abundant number, since it is smaller than the sum of its proper divisors (3966440544828).

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

2049149432772 is a wasteful number, since it uses less digits than its factorization.

2049149432772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825163 (or 825155 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 2049149432772 in words is "two trillion, forty-nine billion, one hundred forty-nine million, four hundred thirty-two thousand, seven hundred seventy-two".