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75057930305604 = 2238534792
BaseRepresentation
bin10001000100001111001001…
…010001100000000001000100
3100211202110122012211100000000
4101010033021101200001010
534314222120124234404
6423345045343321300
721544520324616351
oct2104171121400104
9324673565740000
1075057930305604
1121a089869a0704
128502890bb0230
1332b5c177bb3bc
141476b74c63628
158a2667ddc339
hex4443c9460044

75057930305604 has 81 divisors (see below), whose sum is σ = 197020741116927. Its totient is φ = 25018842267576.

The previous prime is 75057930305563. The next prime is 75057930305629. The reversal of 75057930305604 is 40650303975057.

The square root of 75057930305604 is 8663598.

It is a perfect power (a square), and thus also a powerful number.

75057930305604 is a `hidden beast` number, since 7 + 5 + 0 + 5 + 79 + 3 + 0 + 3 + 0 + 560 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1403476137 + ... + 1403529615.

Almost surely, 275057930305604 is an apocalyptic number.

75057930305604 is the 8663598-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75057930305604

75057930305604 is an abundant number, since it is smaller than the sum of its proper divisors (121962810811323).

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

75057930305604 is an frugal number, since it uses more digits than its factorization.

75057930305604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106986 (or 53484 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 75057930305604 in words is "seventy-five trillion, fifty-seven billion, nine hundred thirty million, three hundred five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244 53479 106958 160437 213916 320874 481311 641748 962622 1443933 1925244 2887866 4331799 5775732 8663598 12995397 17327196 25990794 38986191 51981588 77972382 116958573 155944764 233917146 350875719 467834292 701751438 1403502876 2860003441 5720006882 8580010323 11440013764 17160020646 25740030969 34320041292 51480061938 77220092907 102960123876 154440185814 231660278721 308880371628 463320557442 694980836163 926641114884 1389961672326 2084942508489 2779923344652 4169885016978 6254827525467 8339770033956 12509655050934 18764482576401 25019310101868 37528965152802 75057930305604