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2049311168 = 26833171217
BaseRepresentation
bin111101000100110…
…0000000111000000
312021211010210102122
41322021200013000
513144110424133
6535203503412
7101532600062
oct17211400700
95254123378
102049311168
119618678a3
12492387b68
13268751078
14156253732
15beda3498
hex7a2601c0

2049311168 has 56 divisors (see below), whose sum is σ = 4131972432. Its totient is φ = 1008287744.

The previous prime is 2049311167. The next prime is 2049311219. The reversal of 2049311168 is 8611139402.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049311167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1683296 + ... + 1684512.

It is an arithmetic number, because the mean of its divisors is an integer number (73785222).

Almost surely, 22049311168 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 2049311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065986216).

2049311168 is an abundant number, since it is smaller than the sum of its proper divisors (2082661264).

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

2049311168 is a wasteful number, since it uses less digits than its factorization.

2049311168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 2049311168 is about 45269.3181746754. The cubic root of 2049311168 is about 1270.1917928047.

The spelling of 2049311168 in words is "two billion, forty-nine million, three hundred eleven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 83 166 317 332 634 664 1217 1268 1328 2434 2536 2656 4868 5072 5312 9736 10144 19472 20288 26311 38944 52622 77888 101011 105244 202022 210488 385789 404044 420976 771578 808088 841952 1543156 1616176 1683904 3086312 3232352 6172624 6464704 12345248 24690496 32020487 64040974 128081948 256163896 512327792 1024655584 2049311168