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2168691904 = 261710918287
BaseRepresentation
bin1000000101000011…
…1001110011000000
312121010202222000101
42001100321303000
513420141120104
6555110332144
7104512401631
oct20120716300
95533688011
102168691904
11a13196365
1250635a054
132873bc162
1416804b888
15ca5d55a4
hex81439cc0

2168691904 has 56 divisors (see below), whose sum is σ = 4598700480. Its totient is φ = 1011142656.

The previous prime is 2168691857. The next prime is 2168691911. The reversal of 2168691904 is 4091968612.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 109449 + ... + 127735.

Almost surely, 22168691904 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 2168691904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2299350240).

2168691904 is an abundant number, since it is smaller than the sum of its proper divisors (2430008576).

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

2168691904 is a wasteful number, since it uses less digits than its factorization.

2168691904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18425 (or 18415 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 2168691904 is about 46569.2162699782. The cubic root of 2168691904 is about 1294.3923952528.

The spelling of 2168691904 in words is "two billion, one hundred sixty-eight million, six hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 109 136 218 272 436 544 872 1088 1744 1853 3488 3706 6976 7412 14824 18287 29648 36574 59296 73148 118592 146296 292592 310879 585184 621758 1170368 1243516 1993283 2487032 3986566 4974064 7973132 9948128 15946264 19896256 31892528 33885811 63785056 67771622 127570112 135543244 271086488 542172976 1084345952 2168691904