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275839241616 = 243816212
BaseRepresentation
bin1000000001110010100…
…11001100110110010000
3222100222201012100000000
410000321103030312100
514004404321212431
6330415132130000
725633360603461
oct4007123146620
9870881170000
10275839241616
11a6a8a073994
1245562006900
132001c437883
14d4ca41ad68
1572965159e6
hex40394ccd90

275839241616 has 135 divisors (see below), whose sum is σ = 802111892673. Its totient is φ = 91889691840.

The previous prime is 275839241609. The next prime is 275839241633. The reversal of 275839241616 is 616142938572.

It is a happy number.

The square root of 275839241616 is 525204.

It is a perfect power (a square), and thus also a powerful number.

275839241616 is a `hidden beast` number, since 2 + 7 + 583 + 9 + 2 + 41 + 6 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 211971843216 + 63867398400 = 460404^2 + 252720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 170165286 + ... + 170166906.

Almost surely, 2275839241616 is an apocalyptic number.

275839241616 is the 525204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275839241616

275839241616 is an abundant number, since it is smaller than the sum of its proper divisors (526272651057).

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

275839241616 is an frugal number, since it uses more digits than its factorization.

275839241616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 1626 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 275839241616 in words is "two hundred seventy-five billion, eight hundred thirty-nine million, two hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1621 1944 2187 2916 3242 3888 4374 4863 5832 6484 6561 8748 9726 11664 12968 13122 14589 17496 19452 25936 26244 29178 34992 38904 43767 52488 58356 77808 87534 104976 116712 131301 175068 233424 262602 350136 393903 525204 700272 787806 1050408 1181709 1575612 2100816 2363418 2627641 3151224 3545127 4726836 5255282 6302448 7090254 7882923 9453672 10510564 10635381 14180508 15765846 18907344 21021128 21270762 23648769 28361016 31531692 42042256 42541524 47297538 56722032 63063384 70946307 85083048 94595076 126126768 141892614 170166096 189190152 212838921 283785228 378380304 425677842 567570456 638516763 851355684 1135140912 1277033526 1702711368 1915550289 2554067052 3405422736 3831100578 5108134104 5746650867 7662201156 10216268208 11493301734 15324402312 17239952601 22986603468 30648804624 34479905202 45973206936 68959810404 91946413872 137919620808 275839241616