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58295811440 = 2456146325801
BaseRepresentation
bin110110010010101100…
…110111110101110000
312120110201212001112102
4312102230313311300
51423342211431230
642440345315532
74132424135636
oct662254676560
9176421761472
1058295811440
11227a5513a69
12b36b195ba8
1356606752a9
142b703db356
1517b2d23045
hexd92b37d70

58295811440 has 80 divisors (see below), whose sum is σ = 138062580096. Its totient is φ = 22885632000.

The previous prime is 58295811421. The next prime is 58295811449. The reversal of 58295811440 is 4411859285.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58295811449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2246540 + ... + 2272340.

Almost surely, 258295811440 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 58295811440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69031290048).

58295811440 is an abundant number, since it is smaller than the sum of its proper divisors (79766768656).

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

58295811440 is a wasteful number, since it uses less digits than its factorization.

58295811440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26338 (or 26332 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 47.

The spelling of 58295811440 in words is "fifty-eight billion, two hundred ninety-five million, eight hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 463 488 610 926 976 1220 1852 2315 2440 3704 4630 4880 7408 9260 18520 25801 28243 37040 51602 56486 103204 112972 129005 141215 206408 225944 258010 282430 412816 451888 516020 564860 1032040 1129720 1573861 2064080 2259440 3147722 6295444 7869305 11945863 12590888 15738610 23891726 25181776 31477220 47783452 59729315 62954440 95566904 119458630 125908880 191133808 238917260 477834520 728697643 955669040 1457395286 2914790572 3643488215 5829581144 7286976430 11659162288 14573952860 29147905720 58295811440