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58259228552 = 23727321672
BaseRepresentation
bin110110010000100001…
…010100011110001000
312120101012000110020122
4312100201110132020
51423303330303202
642433001242412
74131501162200
oct662041243610
9176335013218
1058259228552
11227868a7778
12b35aa93408
135655c06c05
142b695d7400
1517ae9e89a2
hexd90854788

58259228552 has 108 divisors (see below), whose sum is σ = 129611135205. Its totient is φ = 24478747776.

The previous prime is 58259228527. The next prime is 58259228561. The reversal of 58259228552 is 25582295285.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 57991382596 + 267845956 = 240814^2 + 16366^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=170674.

It is a super-2 number, since 2×582592285522 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (5760000) is a multiple of the sum of its prime factors (500).

It is a junction number, because it is equal to n+sod(n) for n = 58259228494 and 58259228503.

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, 348857573 + ... + 348857739.

Almost surely, 258259228552 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 58259228552

58259228552 is an abundant number, since it is smaller than the sum of its proper divisors (71351906653).

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

58259228552 is an equidigital number, since it uses as much as digits as its factorization.

58259228552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 249 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 53.

The spelling of 58259228552 in words is "fifty-eight billion, two hundred fifty-nine million, two hundred twenty-eight thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 167 196 292 334 392 511 584 668 1022 1169 1336 2044 2338 3577 4088 4676 5329 7154 8183 9352 10658 12191 14308 16366 21316 24382 27889 28616 32732 37303 42632 48764 55778 65464 74606 85337 97528 111556 149212 170674 195223 223112 261121 298424 341348 390446 522242 597359 682696 780892 889943 1044484 1194718 1366561 1561784 1779886 2035897 2088968 2389436 2733122 3559772 4071794 4778872 5466244 6229601 7119544 8143588 10932488 12459202 14251279 16287176 24918404 28502558 43607207 49836808 57005116 87214414 99758953 114010232 148620481 174428828 199517906 297240962 348857656 399035812 594481924 798071624 1040343367 1188963848 2080686734 4161373468 7282403569 8322746936 14564807138 29129614276 58259228552