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270442732272 = 243172315195429
BaseRepresentation
bin1111101111011110100…
…1001001101011110000
3221212001121201020212120
43323313221021223300
513412331314413042
6324123434154240
725352552203206
oct3736751115360
9855047636776
10270442732272
11a476a965609
12444b6882980
131c66c3ba48b
14d137823076
15707c889dec
hex3ef7a49af0

270442732272 has 160 divisors (see below), whose sum is σ = 777023124480. Its totient is φ = 80617574400.

The previous prime is 270442732271. The next prime is 270442732309. The reversal of 270442732272 is 272237244072.

It is a happy number.

It is a super-3 number, since 3×2704427322723 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270442732271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2786254 + ... + 2881682.

It is an arithmetic number, because the mean of its divisors is an integer number (4856394528).

Almost surely, 2270442732272 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 270442732272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388511562240).

270442732272 is an abundant number, since it is smaller than the sum of its proper divisors (506580392208).

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

270442732272 is a wasteful number, since it uses less digits than its factorization.

270442732272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95631 (or 95625 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 42.

The spelling of 270442732272 in words is "two hundred seventy billion, four hundred forty-two million, seven hundred thirty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 151 184 204 272 276 302 368 391 408 453 552 604 782 816 906 1104 1173 1208 1564 1812 2346 2416 2567 3128 3473 3624 4692 5134 6256 6946 7248 7701 9384 10268 10419 13892 15402 18768 20536 20838 27784 30804 41072 41676 55568 59041 61608 83352 95429 118082 123216 166704 177123 190858 236164 286287 354246 381716 472328 572574 708492 763432 944656 1145148 1416984 1526864 1622293 2194867 2290296 2833968 3244586 4389734 4580592 4866879 6489172 6584601 8779468 9733758 12978344 13169202 14409779 17558936 19467516 25956688 26338404 28819558 35117872 37312739 38935032 43229337 52676808 57639116 74625478 77870064 86458674 105353616 111938217 115278232 149250956 172917348 223876434 230556464 244966243 298501912 331424917 345834696 447752868 489932486 597003824 662849834 691669392 734898729 895505736 979864972 994274751 1325699668 1469797458 1791011472 1959729944 1988549502 2651399336 2939594916 3919459888 3977099004 5302798672 5634223589 5879189832 7954198008 11268447178 11758379664 15908396016 16902670767 22536894356 33805341534 45073788712 67610683068 90147577424 135221366136 270442732272