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168258031656 = 2331113157312269
BaseRepresentation
bin1001110010110011110…
…1011101000000101000
3121002022012011121210020
42130230331131000220
510224043024003111
6205144025320440
715104406446151
oct2345475350050
9532265147706
10168258031656
11653a32aa610
1228739336120
1312b360a50a0
148202588928
15459b956906
hex272cf5d028

168258031656 has 128 divisors (see below), whose sum is σ = 497333692800. Its totient is φ = 46765255680.

The previous prime is 168258031649. The next prime is 168258031681. The reversal of 168258031656 is 656130852861.

It is a happy number.

168258031656 is digitally balanced in base 3, 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 (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 168258031599 and 168258031608.

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, 382690 + ... + 694958.

It is an arithmetic number, because the mean of its divisors is an integer number (3885419475).

Almost surely, 2168258031656 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 168258031656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248666846400).

168258031656 is an abundant number, since it is smaller than the sum of its proper divisors (329075661144).

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

168258031656 is a wasteful number, since it uses less digits than its factorization.

168258031656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312459 (or 312455 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 168258031656 in words is "one hundred sixty-eight billion, two hundred fifty-eight million, thirty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 157 264 286 312 314 429 471 572 628 858 942 1144 1256 1716 1727 1884 2041 3432 3454 3768 4082 5181 6123 6908 8164 10362 12246 13816 16328 20724 22451 24492 41448 44902 48984 67353 89804 134706 179608 269412 312269 538824 624538 936807 1249076 1873614 2498152 3434959 3747228 4059497 6869918 7494456 8118994 10304877 12178491 13739836 16237988 20609754 24356982 27479672 32475976 41219508 44654467 48713964 49026233 82439016 89308934 97427928 98052466 133963401 147078699 178617868 196104932 267926802 294157398 357235736 392209864 535853604 539288563 588314796 637341029 1071707208 1078577126 1176629592 1274682058 1617865689 1912023087 2157154252 2549364116 3235731378 3824046174 4314308504 5098728232 6471462756 7010751319 7648092348 12942925512 14021502638 15296184696 21032253957 28043005276 42064507914 56086010552 84129015828 168258031656