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10326328938 = 2321729112179
BaseRepresentation
bin10011001110111111…
…10100011001101010
3222122122210212021100
421213133310121222
5132122020011223
64424401022230
7513616230162
oct114737643152
928578725240
1010326328938
114419a41852
122002324976
13c874a6313
146dd62b5a2
1540686d043
hex2677f466a

10326328938 has 72 divisors (see below), whose sum is σ = 23804239680. Its totient is φ = 3234591360.

The previous prime is 10326328919. The next prime is 10326328949. The reversal of 10326328938 is 83982362301.

10326328938 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 632 + 8 + 9 + 3 + 8 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10326328893 and 10326328902.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4737933 + ... + 4740111.

It is an arithmetic number, because the mean of its divisors is an integer number (330614440).

Almost surely, 210326328938 is an apocalyptic number.

10326328938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10326328938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902119840).

10326328938 is an abundant number, since it is smaller than the sum of its proper divisors (13477910742).

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

10326328938 is a wasteful number, since it uses less digits than its factorization.

10326328938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10326328938 in words is "ten billion, three hundred twenty-six million, three hundred twenty-eight thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 911 1734 1822 2179 2601 2733 4358 5202 5466 6537 8199 13074 15487 16398 19611 30974 37043 39222 46461 74086 92922 111129 139383 222258 263279 278766 333387 526558 629731 666774 789837 1259462 1579674 1889193 1985069 2369511 3778386 3970138 4739022 5667579 5955207 11335158 11910414 17865621 33746173 35731242 67492346 101238519 202477038 303715557 573684941 607431114 1147369882 1721054823 3442109646 5163164469 10326328938