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31931025168 = 2437197963313
BaseRepresentation
bin11101101111001111…
…001100011100010000
310001102022212010220210
4131233033030130100
51010343320301133
622400252404120
72210165143560
oct355717143420
9101368763823
1031931025168
11125a625a8a9
126231776640
13301b46c443
14178caaada0
15c6d414763
hex76f3cc710

31931025168 has 160 divisors (see below), whose sum is σ = 100491980800. Its totient is φ = 8533444608.

The previous prime is 31931025151. The next prime is 31931025173. The reversal of 31931025168 is 86152013913.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 472680 + ... + 535992.

It is an arithmetic number, because the mean of its divisors is an integer number (628074880).

Almost surely, 231931025168 is an apocalyptic number.

31931025168 is a gapful number since it is divisible by the number (38) 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 31931025168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50245990400).

31931025168 is an abundant number, since it is smaller than the sum of its proper divisors (68560955632).

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

31931025168 is a wasteful number, since it uses less digits than its factorization.

31931025168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63429 (or 63423 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 31931025168 in words is "thirty-one billion, nine hundred thirty-one million, twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 79 84 112 114 133 152 158 168 228 237 266 304 316 336 399 456 474 532 553 632 798 912 948 1064 1106 1264 1501 1596 1659 1896 2128 2212 3002 3192 3318 3792 4424 4503 6004 6384 6636 8848 9006 10507 12008 13272 18012 21014 24016 26544 31521 36024 42028 63042 63313 72048 84056 126084 126626 168112 189939 252168 253252 379878 443191 504336 506504 759756 886382 1013008 1202947 1329573 1519512 1772764 2405894 2659146 3039024 3545528 3608841 4811788 5001727 5318292 7091056 7217682 8420629 9623576 10003454 10636584 14435364 15005181 16841258 19247152 20006908 21273168 25261887 28870728 30010362 33682516 35012089 40013816 50523774 57741456 60020724 67365032 70024178 80027632 95032813 101047548 105036267 120041448 134730064 140048356 190065626 202095096 210072534 240082896 280096712 285098439 380131252 404190192 420145068 560193424 570196878 665229691 760262504 840290136 1140393756 1330459382 1520525008 1680580272 1995689073 2280787512 2660918764 3991378146 4561575024 5321837528 7982756292 10643675056 15965512584 31931025168