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57303027276 = 2231119179127643
BaseRepresentation
bin110101010111100001…
…101100111001001100
312110220112202101200120
4311113201230321030
51414324033333101
642154042424540
74066010460315
oct652741547114
9173815671616
1057303027276
1122336079590
12b132802150
135532a93641
142ab860b60c
151755ab9b36
hexd5786ce4c

57303027276 has 96 divisors (see below), whose sum is σ = 154398182400. Its totient is φ = 16358598720.

The previous prime is 57303027269. The next prime is 57303027293. The reversal of 57303027276 is 67272030375.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385111 + ... + 512753.

It is an arithmetic number, because the mean of its divisors is an integer number (1608314400).

Almost surely, 257303027276 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 57303027276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77199091200).

57303027276 is an abundant number, since it is smaller than the sum of its proper divisors (97095155124).

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

57303027276 is a wasteful number, since it uses less digits than its factorization.

57303027276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127859 (or 127857 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 42.

It can be divided in two parts, 5730302 and 7276, that added together give a triangular number (5737578 = T3387).

The spelling of 57303027276 in words is "fifty-seven billion, three hundred three million, twenty-seven thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 179 209 228 358 418 537 627 716 836 1074 1254 1969 2148 2508 3401 3938 5907 6802 7876 10203 11814 13604 20406 23628 37411 40812 74822 112233 127643 149644 224466 255286 382929 448932 510572 765858 1404073 1531716 2425217 2808146 4212219 4850434 5616292 7275651 8424438 9700868 14551302 16848876 22848097 26677387 29102604 45696194 53354774 68544291 80032161 91392388 106709548 137088582 160064322 251329067 274177164 320128644 434113843 502658134 753987201 868227686 1005316268 1302341529 1507974402 1736455372 2604683058 3015948804 4775252273 5209366116 9550504546 14325756819 19101009092 28651513638 57303027276