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57945569880 = 233511109340163
BaseRepresentation
bin110101111101110100…
…110011101001011000
312112120022210221102210
4311331310303221120
51422133031214010
642341514355120
74120642134342
oct657564635130
9175508727383
1057945569880
1122635844330
12b291a2baa0
135605c36173
142b39aaa292
1517921dcb20
hexd7dd33a58

57945569880 has 128 divisors (see below), whose sum is σ = 189818277120. Its totient is φ = 14034209280.

The previous prime is 57945569879. The next prime is 57945569881. The reversal of 57945569880 is 8896554975.

It is an interprime number because it is at equal distance from previous prime (57945569879) and next prime (57945569881).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57945569881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1422679 + ... + 1462841.

It is an arithmetic number, because the mean of its divisors is an integer number (1482955290).

Almost surely, 257945569880 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 57945569880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94909138560).

57945569880 is an abundant number, since it is smaller than the sum of its proper divisors (131872707240).

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

57945569880 is a wasteful number, since it uses less digits than its factorization.

57945569880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41281 (or 41277 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 66.

The spelling of 57945569880 in words is "fifty-seven billion, nine hundred forty-five million, five hundred sixty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1093 1320 2186 3279 4372 5465 6558 8744 10930 12023 13116 16395 21860 24046 26232 32790 36069 40163 43720 48092 60115 65580 72138 80326 96184 120230 120489 131160 144276 160652 180345 200815 240460 240978 288552 321304 360690 401630 441793 480920 481956 602445 721380 803260 883586 963912 1204890 1325379 1442760 1606520 1767172 2208965 2409780 2650758 3534344 4417930 4819560 5301516 6626895 8835860 10603032 13253790 17671720 26507580 43898159 53015160 87796318 131694477 175592636 219490795 263388954 351185272 438981590 482879749 526777908 658472385 877963180 965759498 1053555816 1316944770 1448639247 1755926360 1931518996 2414398745 2633889540 2897278494 3863037992 4828797490 5267779080 5794556988 7243196235 9657594980 11589113976 14486392470 19315189960 28972784940 57945569880