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16683072140 = 2257237944917
BaseRepresentation
bin11111000100110001…
…10111101010001100
31121001200010212121202
433202120313222030
5233131331302030
611355240045032
71130264526200
oct174230675214
947050125552
1016683072140
117091183029
123297163778
13175b449627
14b43980b00
15679972745
hex3e2637a8c

16683072140 has 72 divisors (see below), whose sum is σ = 40862802960. Its totient is φ = 5704691328.

The previous prime is 16683072101. The next prime is 16683072143. The reversal of 16683072140 is 4127038661.

It is a junction number, because it is equal to n+sod(n) for n = 16683072094 and 16683072103.

It is not an unprimeable number, because it can be changed into a prime (16683072143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348962 + ... + 393878.

It is an arithmetic number, because the mean of its divisors is an integer number (567538930).

Almost surely, 216683072140 is an apocalyptic number.

16683072140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16683072140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20431401480).

16683072140 is an abundant number, since it is smaller than the sum of its proper divisors (24179730820).

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

16683072140 is a wasteful number, since it uses less digits than its factorization.

16683072140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45319 (or 45310 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 16683072140 in words is "sixteen billion, six hundred eighty-three million, seventy-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 379 490 758 980 1516 1895 2653 3790 5306 7580 10612 13265 18571 26530 37142 44917 53060 74284 89834 92855 179668 185710 224585 314419 371420 449170 628838 898340 1257676 1572095 2200933 3144190 4401866 6288380 8803732 11004665 17023543 22009330 34047086 44018660 68094172 85117715 119164801 170235430 238329602 340470860 476659204 595824005 834153607 1191648010 1668307214 2383296020 3336614428 4170768035 8341536070 16683072140