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172196612096 = 21119672572
BaseRepresentation
bin1010000001011110110…
…1111100100000000000
3121110110200022020102212
42200113231330200000
510310124313041341
6211034523001252
715304123024025
oct2402755744000
9543420266385
10172196612096
1167034553373
1229458369228
1313313070662
1484976b154c
15472c5e85eb
hex2817b7c800

172196612096 has 144 divisors (see below), whose sum is σ = 369276944400. Its totient is φ = 80036757504.

The previous prime is 172196612069. The next prime is 172196612149. The reversal of 172196612096 is 690216691271.

172196612096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 670025600 + ... + 670025856.

It is an arithmetic number, because the mean of its divisors is an integer number (2564423225).

Almost surely, 2172196612096 is an apocalyptic number.

172196612096 is a gapful number since it is divisible by the number (16) 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 172196612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184638472200).

172196612096 is an abundant number, since it is smaller than the sum of its proper divisors (197080332304).

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

172196612096 is an frugal number, since it uses more digits than its factorization.

172196612096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 50.

The spelling of 172196612096 in words is "one hundred seventy-two billion, one hundred ninety-six million, six hundred twelve thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 67 76 128 134 152 256 257 268 304 512 514 536 608 1024 1028 1072 1216 1273 2048 2056 2144 2432 2546 4112 4288 4864 4883 5092 8224 8576 9728 9766 10184 16448 17152 17219 19456 19532 20368 32896 34304 34438 38912 39064 40736 65792 66049 68608 68876 78128 81472 131584 132098 137216 137752 156256 162944 263168 264196 275504 312512 325888 327161 526336 528392 551008 625024 651776 654322 1056784 1102016 1250048 1254931 1303552 1308644 2113568 2204032 2500096 2509862 2607104 2617288 4227136 4408064 4425283 5000192 5019724 5234576 8454272 8816128 8850566 10000384 10039448 10469152 16908544 17632256 17701132 20078896 20938304 33817088 35264512 35402264 40157792 41876608 67634176 70804528 80315584 83753216 84080377 135268352 141609056 160631168 167506432 168160754 283218112 321262336 335012864 336321508 566436224 642524672 670025728 672643016 1132872448 1285049344 1345286032 2265744896 2570098688 2690572064 4531489792 5381144128 9062979584 10762288256 21524576512 43049153024 86098306048 172196612096