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1688941056 = 2931199961
BaseRepresentation
bin110010010101011…
…0011001000000000
311100201001002120110
41210222303020000
511424332103211
6435331511320
756565522255
oct14452631000
94321032513
101688941056
117973aa460
123b1758540
1320bba6a0a
1412044742c
159d41bea6
hex64ab3200

1688941056 has 80 divisors (see below), whose sum is σ = 4908534048. Its totient is φ = 511795200.

The previous prime is 1688941043. The next prime is 1688941073. The reversal of 1688941056 is 6501498861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1688940996 and 1688941014.

It is a congruent number.

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, 33085 + ... + 66876.

Almost surely, 21688941056 is an apocalyptic number.

1688941056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1688941056 is an abundant number, since it is smaller than the sum of its proper divisors (3219592992).

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

1688941056 is an equidigital number, since it uses as much as digits as its factorization.

1688941056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99993 (or 99977 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 1688941056 is about 41096.7280449429. The cubic root of 1688941056 is about 1190.8895864525.

The spelling of 1688941056 in words is "one billion, six hundred eighty-eight million, nine hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 99961 199922 299883 399844 599766 799688 1099571 1199532 1599376 2199142 2399064 3198752 3298713 4398284 4798128 6397504 6597426 8796568 9596256 12795008 13194852 17593136 19192512 25590016 26389704 35186272 38385024 51180032 52779408 70372544 76770048 105558816 140745088 153540096 211117632 281490176 422235264 562980352 844470528 1688941056