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168226974384 = 243716713992143
BaseRepresentation
bin1001110010101100011…
…0111110101010110000
3121002020000201202012220
42130223012332222300
510224012101140014
6205140555521040
715103551455160
oct2345306765260
9532200652186
10168226974384
1165387817847
122872aa59180
1312b2c81cac1
1481dc3c25a0
154598d6e6a9
hex272b1beab0

168226974384 has 160 divisors (see below), whose sum is σ = 500234649600. Its totient is φ = 47720606976.

The previous prime is 168226974359. The next prime is 168226974389. The reversal of 168226974384 is 483479622861.

It is not an unprimeable number, because it can be changed into a prime (168226974389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78499617 + ... + 78501759.

It is an arithmetic number, because the mean of its divisors is an integer number (3126466560).

Almost surely, 2168226974384 is an apocalyptic number.

168226974384 is a gapful number since it is divisible by the number (14) 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 168226974384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250117324800).

168226974384 is an abundant number, since it is smaller than the sum of its proper divisors (332007675216).

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

168226974384 is a wasteful number, since it uses less digits than its factorization.

168226974384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3721 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The spelling of 168226974384 in words is "one hundred sixty-eight billion, two hundred twenty-six million, nine hundred seventy-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 334 336 501 668 1002 1169 1336 1399 2004 2143 2338 2672 2798 3507 4008 4197 4286 4676 5596 6429 7014 8016 8394 8572 9352 9793 11192 12858 14028 15001 16788 17144 18704 19586 22384 25716 28056 29379 30002 33576 34288 39172 45003 51432 56112 58758 60004 67152 78344 90006 102864 117516 120008 156688 180012 233633 235032 240016 357881 360024 467266 470064 700899 715762 720048 934532 1073643 1401798 1431524 1635431 1869064 2147286 2505167 2803596 2863048 2998057 3270862 3738128 4294572 4906293 5010334 5607192 5726096 5996114 6541724 7515501 8589144 8994171 9812586 10020668 11214384 11992228 13083448 15031002 17178288 17988342 19625172 20041336 20986399 23984456 26166896 30062004 35976684 39250344 40082672 41972798 47968912 60124008 62959197 71953368 78500688 83945596 120248016 125918394 143906736 167891192 251836788 335782384 500675519 503673576 1001351038 1007347152 1502026557 2002702076 3004053114 3504728633 4005404152 6008106228 7009457266 8010808304 10514185899 12016212456 14018914532 21028371798 24032424912 28037829064 42056743596 56075658128 84113487192 168226974384