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32168431368 = 233637149077
BaseRepresentation
bin11101111101011000…
…110100111100001000
310002000212120122000000
4131331120310330020
51011340104300433
622440013043000
72216110104123
oct357530647410
9102025518000
1032168431368
1112708271677
126299186460
1330586c2798
1417b24293ba
15c841ac113
hex77d634f08

32168431368 has 112 divisors (see below), whose sum is σ = 92877084780. Its totient is φ = 10432934784.

The previous prime is 32168431363. The next prime is 32168431369. The reversal of 32168431368 is 86313486123.

32168431368 is a `hidden beast` number, since 321 + 6 + 8 + 4 + 313 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22004162244 + 10164269124 = 148338^2 + 100818^2 .

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

It is not an unprimeable number, because it can be changed into a prime (32168431363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 141246 + ... + 290322.

Almost surely, 232168431368 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 32168431368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46438542390).

32168431368 is an abundant number, since it is smaller than the sum of its proper divisors (60708653412).

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

32168431368 is a wasteful number, since it uses less digits than its factorization.

32168431368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149138 (or 149119 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 32168431368 in words is "thirty-two billion, one hundred sixty-eight million, four hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 243 296 324 333 444 486 648 666 729 888 972 999 1332 1458 1944 1998 2664 2916 2997 3996 5832 5994 7992 8991 11988 17982 23976 26973 35964 53946 71928 107892 149077 215784 298154 447231 596308 894462 1192616 1341693 1788924 2683386 3577848 4025079 5366772 5515849 8050158 10733544 11031698 12075237 16100316 16547547 22063396 24150474 32200632 33095094 36225711 44126792 48300948 49642641 66190188 72451422 96601896 99285282 108677133 132380376 144902844 148927923 198570564 217354266 289805688 297855846 397141128 434708532 446783769 595711692 869417064 893567538 1191423384 1340351307 1787135076 2680702614 3574270152 4021053921 5361405228 8042107842 10722810456 16084215684 32168431368