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5058096007328 = 257138532036323
BaseRepresentation
bin100100110011010111000…
…0001000000100010100000
3122220112211102000002020022
41021212232001000202200
51130332440034213303
614431353543333012
71031302222450610
oct111465601004240
918815742002208
105058096007328
111680143371761
12698362151168
132a8c90220470
14136b55412a40
158b88cc28438
hex499ae0408a0

5058096007328 has 96 divisors (see below), whose sum is σ = 12270530030976. Its totient is φ = 1998658188288.

The previous prime is 5058096007253. The next prime is 5058096007337. The reversal of 5058096007328 is 8237006908505.

It is a self number, because there is not a number n which added to its sum of digits gives 5058096007328.

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, 1465775 + ... + 3502097.

It is an arithmetic number, because the mean of its divisors is an integer number (127818021156).

Almost surely, 25058096007328 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 5058096007328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135265015488).

5058096007328 is an abundant number, since it is smaller than the sum of its proper divisors (7212434023648).

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

5058096007328 is a wasteful number, since it uses less digits than its factorization.

5058096007328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037206 (or 2037198 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 53.

The spelling of 5058096007328 in words is "five trillion, fifty-eight billion, ninety-six million, seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 853 1456 1706 2912 3412 5971 6824 11089 11942 13648 22178 23884 27296 44356 47768 77623 88712 95536 155246 177424 191072 310492 354848 620984 1241968 2036323 2483936 4072646 8145292 14254261 16290584 26472199 28508522 32581168 52944398 57017044 65162336 105888796 114034088 185305393 211777592 228068176 370610786 423555184 456136352 741221572 847110368 1482443144 1736983519 2964886288 3473967038 5929772576 6947934076 12158884633 13895868152 22580785747 24317769266 27791736304 45161571494 48635538532 55583472608 90323142988 97271077064 158065500229 180646285976 194542154128 316131000458 361292571952 389084308256 632262000916 722585143904 1264524001832 2529048003664 5058096007328