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168328914912 = 253526980473
BaseRepresentation
bin1001110011000100101…
…1110110011111100000
3121002111010112212100000
42130301023312133200
510224214200234122
6205155040500000
715106230111654
oct2346113663740
9532433485300
10168328914912
116542a314214
122875901a600
1312b47992942
14820bb5aa64
1545a2ca90ac
hex27312f67e0

168328914912 has 144 divisors (see below), whose sum is σ = 498266037360. Its totient is φ = 55900357632.

The previous prime is 168328914899. The next prime is 168328914913. The reversal of 168328914912 is 219419823861.

It is a happy number.

168328914912 is a `hidden beast` number, since 1 + 68 + 3 + 2 + 8 + 91 + 491 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168328914913) 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, 2051508 + ... + 2131980.

It is an arithmetic number, because the mean of its divisors is an integer number (3460180815).

Almost surely, 2168328914912 is an apocalyptic number.

168328914912 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 168328914912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249133018680).

168328914912 is an abundant number, since it is smaller than the sum of its proper divisors (329937122448).

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

168328914912 is an equidigital number, since it uses as much as digits as its factorization.

168328914912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80767 (or 80747 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 168328914912 in words is "one hundred sixty-eight billion, three hundred twenty-eight million, nine hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 269 288 324 432 486 538 648 807 864 972 1076 1296 1614 1944 2152 2421 2592 3228 3888 4304 4842 6456 7263 7776 8608 9684 12912 14526 19368 21789 25824 29052 38736 43578 58104 65367 77472 80473 87156 116208 130734 160946 174312 232416 241419 261468 321892 348624 482838 522936 643784 697248 724257 965676 1045872 1287568 1448514 1931352 2091744 2172771 2575136 2897028 3862704 4345542 5794056 6518313 7725408 8691084 11588112 13036626 17382168 19554939 21647237 23176224 26073252 34764336 39109878 43294474 52146504 64941711 69528672 78219756 86588948 104293008 129883422 156439512 173177896 194825133 208586016 259766844 312879024 346355792 389650266 519533688 584475399 625758048 692711584 779300532 1039067376 1168950798 1558601064 1753426197 2078134752 2337901596 3117202128 3506852394 4675803192 5260278591 6234404256 7013704788 9351606384 10520557182 14027409576 18703212768 21041114364 28054819152 42082228728 56109638304 84164457456 168328914912