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275313313572 = 2231147167265729
BaseRepresentation
bin1000000000110011111…
…00111100011100100100
3222022122001120102100120
410000121330330130210
514002320202013242
6330251023441540
725614343360533
oct4003174743444
9868561512316
10275313313572
11a683a208410
1245435a562b0
131cc674a504b
14d47a63631a
15726527a1ec
hex4019f3c724

275313313572 has 96 divisors (see below), whose sum is σ = 719996497920. Its totient is φ = 81163960320.

The previous prime is 275313313559. The next prime is 275313313607.

275313313572 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 903204 + ... + 1168932.

It is an arithmetic number, because the mean of its divisors is an integer number (7499963520).

Almost surely, 2275313313572 is an apocalyptic number.

275313313572 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 275313313572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359998248960).

275313313572 is an abundant number, since it is smaller than the sum of its proper divisors (444683184348).

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

275313313572 is a wasteful number, since it uses less digits than its factorization.

275313313572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265961 (or 265959 counting only the distinct ones).

The product of its digits is 396900, while the sum is 42.

It can be divided in two parts, 275313 and 313572, that added together give a palindrome (588885).

The spelling of 275313313572 in words is "two hundred seventy-five billion, three hundred thirteen million, three hundred thirteen thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 167 188 282 334 501 517 564 668 1002 1034 1551 1837 2004 2068 3102 3674 5511 6204 7348 7849 11022 15698 22044 23547 31396 47094 86339 94188 172678 259017 265729 345356 518034 531458 797187 1036068 1062916 1594374 2923019 3188748 5846038 8769057 11692076 12489263 17538114 24978526 35076228 37467789 44376743 49957052 74935578 88753486 133130229 137381893 149871156 177506972 266260458 274763786 412145679 488144173 532520916 549527572 824291358 976288346 1464432519 1648582716 1952576692 2085706921 2928865038 4171413842 5857730076 6257120763 8342827684 12514241526 22942776131 25028483052 45885552262 68828328393 91771104524 137656656786 275313313572