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2083802688 = 263211328883
BaseRepresentation
bin111110000110100…
…0100111001000000
312101020001010220100
41330031010321000
513231423141223
6542435042400
7102432013332
oct17415047100
95336033810
102083802688
1197a285890
124a1a40400
13272939556
1415aa71452
15c2e18043
hex7c344e40

2083802688 has 84 divisors (see below), whose sum is σ = 6515849808. Its totient is φ = 631453440.

The previous prime is 2083802687. The next prime is 2083802689. The reversal of 2083802688 is 8862083802.

2083802688 is a `hidden beast` number, since 2 + 0 + 8 + 380 + 268 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2083802687) and next prime (2083802689).

It is not an unprimeable number, because it can be changed into a prime (2083802681) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 158106 + ... + 170777.

Almost surely, 22083802688 is an apocalyptic number.

It is an amenable number.

2083802688 is an abundant number, since it is smaller than the sum of its proper divisors (4432047120).

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

2083802688 is a wasteful number, since it uses less digits than its factorization.

2083802688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328912 (or 328899 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2083802688 is about 45648.6876919808. The cubic root of 2083802688 is about 1277.2782923630.

The spelling of 2083802688 in words is "two billion, eighty-three million, eight hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 328883 657766 986649 1315532 1973298 2631064 2959947 3617713 3946596 5262128 5919894 7235426 7893192 10524256 10853139 11839788 14470852 15786384 21048512 21706278 23679576 28941704 31572768 32559417 43412556 47359152 57883408 63145536 65118834 86825112 94718304 115766816 130237668 173650224 189436608 231533632 260475336 347300448 520950672 694600896 1041901344 2083802688