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2061342144 = 26325367523
BaseRepresentation
bin111101011011101…
…1001010111000000
312022122210000211100
41322313121113000
513210200422034
6540313414400
7102040055601
oct17267312700
95278700740
102061342144
11968634954
1249640a400
1326b0a41a4
14157aa5da8
15c0e7d099
hex7add95c0

2061342144 has 84 divisors (see below), whose sum is σ = 6020034696. Its totient is φ = 674139648.

The previous prime is 2061342137. The next prime is 2061342169. The reversal of 2061342144 is 4412431602.

It is a happy number.

2061342144 is a `hidden beast` number, since 2 + 0 + 613 + 4 + 2 + 1 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3234 + ... + 64289.

Almost surely, 22061342144 is an apocalyptic number.

2061342144 is a gapful number since it is divisible by the number (24) 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 2061342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010017348).

2061342144 is an abundant number, since it is smaller than the sum of its proper divisors (3958692552).

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

2061342144 is a wasteful number, since it uses less digits than its factorization.

2061342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67594 (or 67581 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2061342144 is about 45402.0059468742. The cubic root of 2061342144 is about 1272.6726002588.

Adding to 2061342144 its reverse (4412431602), we get a palindrome (6473773746).

The spelling of 2061342144 in words is "two billion, sixty-one million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 10176 15264 30528 67523 135046 202569 270092 405138 540184 607707 810276 1080368 1215414 1620552 2160736 2430828 3241104 3578719 4321472 4861656 6482208 7157438 9723312 10736157 12964416 14314876 19446624 21472314 28629752 32208471 38893248 42944628 57259504 64416942 85889256 114519008 128833884 171778512 229038016 257667768 343557024 515335536 687114048 1030671072 2061342144