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1868670648 = 233413221827
BaseRepresentation
bin110111101100001…
…1010011010111000
311211020020022020000
41233120122122320
512311334430043
6505232033000
764210303245
oct15730323270
94736208200
101868670648
118798a7a09
12441992760
1323a1b47a0
1413a2705cc
15ae0c02d3
hex6f61a6b8

1868670648 has 80 divisors (see below), whose sum is σ = 5636649480. Its totient is φ = 574972992.

The previous prime is 1868670637. The next prime is 1868670659. The reversal of 1868670648 is 8460768681.

It is an interprime number because it is at equal distance from previous prime (1868670637) and next prime (1868670659).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1868670594 and 1868670603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102490 + ... + 119337.

Almost surely, 21868670648 is an apocalyptic number.

1868670648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1868670648 is an abundant number, since it is smaller than the sum of its proper divisors (3767978832).

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

1868670648 is a wasteful number, since it uses less digits than its factorization.

1868670648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221858 (or 221845 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 1868670648 is about 43228.1233458035. The cubic root of 1868670648 is about 1231.7169597023.

The spelling of 1868670648 in words is "one billion, eight hundred sixty-eight million, six hundred seventy thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 221827 443654 665481 887308 1330962 1774616 1996443 2661924 2883751 3992886 5323848 5767502 5989329 7985772 8651253 11535004 11978658 15971544 17302506 17967987 23070008 23957316 25953759 34605012 35935974 47914632 51907518 69210024 71871948 77861277 103815036 143743896 155722554 207630072 233583831 311445108 467167662 622890216 934335324 1868670648