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270238282072 = 231122113793491
BaseRepresentation
bin1111101110101101110…
…1001111000101011000
3221211112101000002220221
43323223131033011120
513411422000011242
6324051252125424
725344520332403
oct3735335170530
9854471002827
10270238282072
11a4675513100
124445a306874
131c638c35725
14d118602d3a
157069952167
hex3eeb74f158

270238282072 has 96 divisors (see below), whose sum is σ = 561224462400. Its totient is φ = 121895928000.

The previous prime is 270238282057. The next prime is 270238282091. The reversal of 270238282072 is 270282832072.

It is a super-2 number, since 2×2702382820722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77408247 + ... + 77411737.

It is an arithmetic number, because the mean of its divisors is an integer number (5846088150).

Almost surely, 2270238282072 is an apocalyptic number.

270238282072 is a gapful number since it is divisible by the number (22) 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 270238282072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280612231200).

270238282072 is an abundant number, since it is smaller than the sum of its proper divisors (290986180328).

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

270238282072 is a wasteful number, since it uses less digits than its factorization.

270238282072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4109 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 270238282072 in words is "two hundred seventy billion, two hundred thirty-eight million, two hundred eighty-two thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 88 121 211 242 379 422 484 758 844 968 1516 1688 2321 3032 3491 4169 4642 6982 8338 9284 13964 16676 18568 25531 27928 33352 38401 45859 51062 76802 79969 91718 102124 153604 159938 183436 204248 307208 319876 366872 422411 639752 736601 844822 879659 1323089 1473202 1689644 1759318 2646178 2946404 3379288 3518636 5292356 5892808 7037272 8102611 9676249 10584712 14553979 16205222 19352498 29107958 32410444 38704996 58215916 64820888 77409992 89128721 116431832 160093769 178257442 279171779 320187538 356514884 558343558 640375076 713029768 1116687116 1280750152 2233374232 3070889569 6141779138 12283558276 24567116552 33779785259 67559570518 135119141036 270238282072