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57329903488 = 27111317184241
BaseRepresentation
bin110101011001001000…
…001110011110000000
312110222102022211220211
4311121020032132000
51414402423402423
642200442443504
74066455065524
oct653110163600
9173872284824
1057329903488
112234a266030
12b13b803594
135538513820
142abc005d84
15175812810d
hexd5920e780

57329903488 has 128 divisors (see below), whose sum is σ = 142072691040. Its totient is φ = 22639411200.

The previous prime is 57329903419. The next prime is 57329903531. The reversal of 57329903488 is 88430992375.

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

It is a super-2 number, since 2×573299034882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 219048 + ... + 403288.

Almost surely, 257329903488 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 57329903488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71036345520).

57329903488 is an abundant number, since it is smaller than the sum of its proper divisors (84742787552).

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

57329903488 is a wasteful number, since it uses less digits than its factorization.

57329903488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184296 (or 184284 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 57329903488 in words is "fifty-seven billion, three hundred twenty-nine million, nine hundred three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 64 68 88 104 128 136 143 176 187 208 221 272 286 352 374 416 442 544 572 704 748 832 884 1088 1144 1408 1496 1664 1768 2176 2288 2431 2992 3536 4576 4862 5984 7072 9152 9724 11968 14144 18304 19448 23936 28288 38896 77792 155584 184241 311168 368482 736964 1473928 2026651 2395133 2947856 3132097 4053302 4790266 5895712 6264194 8106604 9580532 11791424 12528388 16213208 19161064 23582848 25056776 26346463 32426416 34453067 38322128 40717261 50113552 52692926 64852832 68906134 76644256 81434522 100227104 105385852 129705664 137812268 153288512 162869044 200454208 210771704 259411328 275624536 306577024 325738088 400908416 421543408 447889871 551249072 651476176 843086816 895779742 1102498144 1302952352 1686173632 1791559484 2204996288 2605904704 3372347264 3583118968 4409992576 5211809408 7166237936 14332475872 28664951744 57329903488