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16268328792 = 23331075931187
BaseRepresentation
bin11110010011010101…
…01111111101011000
31112222202201201201000
433021222233331120
5231304143010132
611250142425000
71114100341002
oct171152577530
945882651630
1016268328792
116999058231
1231a0292160
1316c3545471
14b0485d372
1565334a87c
hex3c9aaff58

16268328792 has 128 divisors (see below), whose sum is σ = 45727545600. Its totient is φ = 5358518784.

The previous prime is 16268328673. The next prime is 16268328851. The reversal of 16268328792 is 29782386261.

16268328792 is a `hidden beast` number, since 1 + 626 + 8 + 3 + 2 + 8 + 7 + 9 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13704823 + ... + 13706009.

It is an arithmetic number, because the mean of its divisors is an integer number (357246450).

Almost surely, 216268328792 is an apocalyptic number.

16268328792 is a gapful number since it is divisible by the number (12) 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 16268328792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22863772800).

16268328792 is an abundant number, since it is smaller than the sum of its proper divisors (29459216808).

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

16268328792 is a wasteful number, since it uses less digits than its factorization.

16268328792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1892 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 16268328792 in words is "sixteen billion, two hundred sixty-eight million, three hundred twenty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 593 642 856 963 1186 1187 1284 1779 1926 2372 2374 2568 2889 3558 3561 3852 4744 4748 5337 5778 7116 7122 7704 9496 10674 10683 11556 14232 14244 16011 21348 21366 23112 28488 32022 32049 42696 42732 63451 64044 64098 85464 126902 127009 128088 128196 190353 253804 254018 256392 380706 381027 507608 508036 571059 703891 761412 762054 1016072 1142118 1143081 1407782 1522824 1524108 1713177 2111673 2284236 2286162 2815564 3048216 3426354 3429243 4223346 4568472 4572324 5631128 6335019 6852708 6858486 8446692 9144648 12670038 13705416 13716972 16893384 19005057 25340076 27433944 38010114 50680152 75316337 76020228 150632674 152040456 225949011 301265348 451898022 602530696 677847033 903796044 1355694066 1807592088 2033541099 2711388132 4067082198 5422776264 8134164396 16268328792