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1679634675 = 3252193311187
BaseRepresentation
bin110010000011101…
…0011000011110011
311100001112021121200
41210013103003303
511414441302200
6434400222243
756423442045
oct14407230363
94301467550
101679634675
11792123434
123aa60a983
13209c98a94
1411d103a95
159c6ce800
hex641d30f3

1679634675 has 72 divisors (see below), whose sum is σ = 3178992960. Its totient is φ = 845380800.

The previous prime is 1679634661. The next prime is 1679634689. The reversal of 1679634675 is 5764369761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1679634661) and next prime (1679634689).

It is not a de Polignac number, because 1679634675 - 28 = 1679634419 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1414432 + ... + 1415618.

It is an arithmetic number, because the mean of its divisors is an integer number (44152680).

Almost surely, 21679634675 is an apocalyptic number.

1679634675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1679634675 is a deficient number, since it is larger than the sum of its proper divisors (1499358285).

1679634675 is a wasteful number, since it uses less digits than its factorization.

1679634675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 1679634675 is about 40983.3463128623. The cubic root of 1679634675 is about 1188.6982151278.

The spelling of 1679634675 in words is "one billion, six hundred seventy-nine million, six hundred thirty-four thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 171 225 285 331 475 855 993 1187 1425 1655 2979 3561 4275 4965 5935 6289 8275 10683 14895 17805 18867 22553 24825 29675 31445 53415 56601 67659 74475 89025 94335 112765 157225 202977 267075 283005 338295 392897 471675 563825 1014885 1178691 1415025 1691475 1964485 3536073 5074425 5893455 7465043 9822425 17680365 22395129 29467275 37325215 67185387 88401825 111975645 186626075 335926935 559878225 1679634675