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57089603150976 = 2731120816494729
BaseRepresentation
bin11001111101100001101011…
…00001000010010010000000
321111010201020121020221010110
430332300311201002102000
524440324001401312401
6321230333541231320
715011405405045544
oct1476606541022200
9244121217227113
1057089603150976
1117210623723a20
1264a0420702540
1325b16ac893566
141015219b57a24
1569007194a9d6
hex33ec35842480

57089603150976 has 128 divisors (see below), whose sum is σ = 165509621006400. Its totient is φ = 17291563827200.

The previous prime is 57089603150941. The next prime is 57089603150981. The reversal of 57089603150976 is 67905130698075.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5542780 + ... + 12037508.

Almost surely, 257089603150976 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 57089603150976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82754810503200).

57089603150976 is an abundant number, since it is smaller than the sum of its proper divisors (108420017855424).

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

57089603150976 is a wasteful number, since it uses less digits than its factorization.

57089603150976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496838 (or 6496826 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 66.

The spelling of 57089603150976 in words is "fifty-seven trillion, eighty-nine billion, six hundred three million, one hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2081 2112 4162 4224 6243 8324 12486 16648 22891 24972 33296 45782 49944 66592 68673 91564 99888 133184 137346 183128 199776 266368 274692 366256 399552 549384 732512 799104 1098768 1465024 2197536 2930048 4395072 6494729 8790144 12989458 19484187 25978916 38968374 51957832 71442019 77936748 103915664 142884038 155873496 207831328 214326057 285768076 311746992 415662656 428652114 571536152 623493984 831325312 857304228 1143072304 1246987968 1714608456 2286144608 2493975936 3429216912 4572289216 6858433824 9144578432 13515531049 13716867648 27031062098 27433735296 40546593147 54062124196 81093186294 108124248392 148670841539 162186372588 216248496784 297341683078 324372745176 432496993568 446012524617 594683366156 648745490352 864993987136 892025049234 1189366732312 1297490980704 1729987974272 1784050098468 2378733464624 2594981961408 3568100196936 4757466929248 5189963922816 7136200393872 9514933858496 14272400787744 19029867716992 28544801575488 57089603150976