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272333240712840 = 23356772374680433
BaseRepresentation
bin111101111010111110000110…
…000100101011111010001000
31022201020210200210021212201210
4331322332012010223322020
5241143401434110302330
62403112055203013120
7111235266402644436
oct7572760604537210
91281223623255653
10272333240712840
117985697374005a
122666400b36a1a0
13b8c5bb6c455a8
144b36ddba6bd56
15217402c5db8b0
hexf7af8612be88

272333240712840 has 128 divisors (see below), whose sum is σ = 829308502028160. Its totient is φ = 71528383770624.

The previous prime is 272333240712803. The next prime is 272333240712853. The reversal of 272333240712840 is 48217042333272.

It is a super-2 number, since 2×2723332407128402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 272333240712840.

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, 55845264 + ... + 60525696.

It is an arithmetic number, because the mean of its divisors is an integer number (6478972672095).

Almost surely, 2272333240712840 is an apocalyptic number.

272333240712840 is a gapful number since it is divisible by the number (20) 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 272333240712840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414654251014080).

272333240712840 is an abundant number, since it is smaller than the sum of its proper divisors (556975261315320).

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

272333240712840 is a wasteful number, since it uses less digits than its factorization.

272333240712840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687751 (or 4687747 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 48.

The spelling of 272333240712840 in words is "two hundred seventy-two trillion, three hundred thirty-three billion, two hundred forty million, seven hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 7237 8040 14474 21711 28948 36185 43422 57896 72370 86844 108555 144740 173688 217110 289480 434220 484879 868440 969758 1454637 1939516 2424395 2909274 3879032 4680433 4848790 5818548 7273185 9360866 9697580 11637096 14041299 14546370 18721732 19395160 23402165 28082598 29092740 37443464 46804330 56165196 58185480 70206495 93608660 112330392 140412990 187217320 280825980 313589011 561651960 627178022 940767033 1254356044 1567945055 1881534066 2508712088 3135890110 3763068132 4703835165 6271780220 7526136264 9407670330 12543560440 18815340660 33872293621 37630681320 67744587242 101616880863 135489174484 169361468105 203233761726 270978348968 338722936210 406467523452 508084404315 677445872420 812935046904 1016168808630 1354891744840 2032337617260 2269443672607 4064675234520 4538887345214 6808331017821 9077774690428 11347218363035 13616662035642 18155549380856 22694436726070 27233324071284 34041655089105 45388873452140 54466648142568 68083310178210 90777746904280 136166620356420 272333240712840