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16378170328 = 23131741922109
BaseRepresentation
bin11110100000011011…
…10000101111011000
31120021102102020222001
433100031300233120
5232020302422303
611305105010344
71116603102502
oct172015605730
946242366861
1016378170328
116a45060863
1232110239b4
131710223660
14b15292d72
1565cce631d
hex3d0370bd8

16378170328 has 64 divisors (see below), whose sum is σ = 35101836000. Its totient is φ = 7097198592.

The previous prime is 16378170307. The next prime is 16378170343. The reversal of 16378170328 is 82307187361.

16378170328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 729738 + ... + 751846.

Almost surely, 216378170328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16378170328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17550918000).

16378170328 is an abundant number, since it is smaller than the sum of its proper divisors (18723665672).

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

16378170328 is a wasteful number, since it uses less digits than its factorization.

16378170328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22564 (or 22560 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 16378170328 in words is "sixteen billion, three hundred seventy-eight million, one hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 419 442 838 884 1676 1768 3352 5447 7123 10894 14246 21788 22109 28492 43576 44218 56984 88436 92599 176872 185198 287417 370396 375853 574834 740792 751706 1149668 1503412 2299336 3006824 4886089 9263671 9772178 18527342 19544356 37054684 39088712 74109368 120427723 157482407 240855446 314964814 481710892 629929628 963421784 1259859256 2047271291 4094542582 8189085164 16378170328