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2049933006 = 23211234110979
BaseRepresentation
bin111101000101111…
…0111111011001110
312021212022101102200
41322023313323032
513144240324011
6535225102330
7101541100032
oct17213677316
95255271380
102049933006
11962152010
124926279a6
1326890b114
141563761c2
15bee77856
hex7a2f7ece

2049933006 has 96 divisors (see below), whose sum is σ = 5179749120. Its totient is φ = 579638400.

The previous prime is 2049932987. The next prime is 2049933013. The reversal of 2049933006 is 6003399402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181225 + ... + 192203.

It is an arithmetic number, because the mean of its divisors is an integer number (53955720).

Almost surely, 22049933006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049933006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589874560).

2049933006 is an abundant number, since it is smaller than the sum of its proper divisors (3129816114).

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

2049933006 is a wasteful number, since it uses less digits than its factorization.

2049933006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062 (or 11059 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2049933006 is about 45276.1858596768. The cubic root of 2049933006 is about 1270.3202544490.

The spelling of 2049933006 in words is "two billion, forty-nine million, nine hundred thirty-three thousand, six".

Divisors: 1 2 3 6 9 11 18 22 23 33 41 46 66 69 82 99 123 138 198 207 246 253 369 414 451 506 738 759 902 943 1353 1518 1886 2277 2706 2829 4059 4554 5658 8118 8487 10373 10979 16974 20746 21958 31119 32937 62238 65874 93357 98811 120769 186714 197622 241538 252517 362307 450139 505034 724614 757551 900278 1086921 1350417 1515102 2173842 2272653 2700834 2777687 4051251 4545306 4951529 5555374 8102502 8333061 9903058 10353197 14854587 16666122 20706394 24999183 29709174 31059591 44563761 49998366 62119182 89127522 93178773 113885167 186357546 227770334 341655501 683311002 1024966503 2049933006