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2042120576 = 2737431191
BaseRepresentation
bin111100110111000…
…0100100110000000
312021022121110210102
41321232010212000
513140240324301
6534345421532
7101414511206
oct17156044600
95238543712
102042120576
119587a6461
1248ba9a8a8
13267104192
14155301076
15be432b6b
hex79b84980

2042120576 has 32 divisors (see below), whose sum is σ = 4178250480. Its totient is φ = 993461760.

The previous prime is 2042120569. The next prime is 2042120609. The reversal of 2042120576 is 6750212402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210860 + ... + 220331.

Almost surely, 22042120576 is an apocalyptic number.

It is an amenable number.

2042120576 is an abundant number, since it is smaller than the sum of its proper divisors (2136129904).

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

2042120576 is an equidigital number, since it uses as much as digits as its factorization.

2042120576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431242 (or 431230 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2042120576 is about 45189.8282360090. The cubic root of 2042120576 is about 1268.7044419371.

Adding to 2042120576 its reverse (6750212402), we get a palindrome (8792332978).

The spelling of 2042120576 in words is "two billion, forty-two million, one hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 431191 862382 1724764 3449528 6899056 13798112 15954067 27596224 31908134 55192448 63816268 127632536 255265072 510530144 1021060288 2042120576