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34531453125 = 32561321453
BaseRepresentation
bin100000001010001111…
…000010100011000101
310022010120000120110100
4200022033002203011
51031210023000000
623510304514313
72331502336311
oct401217024305
9108116016410
1034531453125
1113710117914
12683861b999
133344132100
1419581c0b41
15d7187ba00
hex80a3c28c5

34531453125 has 126 divisors (see below), whose sum is σ = 67559018046. Its totient is φ = 16988400000.

The previous prime is 34531453123. The next prime is 34531453147. The reversal of 34531453125 is 52135413543.

34531453125 is a `hidden beast` number, since 34 + 53 + 1 + 453 + 125 = 666.

It can be written as a sum of positive squares in 21 ways, for example, as 13508483076 + 21022970049 = 116226^2 + 144993^2 .

It is not a de Polignac number, because 34531453125 - 21 = 34531453123 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34531453125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34531453123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 23764899 + ... + 23766351.

Almost surely, 234531453125 is an apocalyptic number.

It is an amenable number.

34531453125 is a deficient number, since it is larger than the sum of its proper divisors (33027564921).

34531453125 is an equidigital number, since it uses as much as digits as its factorization.

34531453125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1474 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

Adding to 34531453125 its reverse (52135413543), we get a palindrome (86666866668).

The spelling of 34531453125 in words is "thirty-four billion, five hundred thirty-one million, four hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 169 195 225 325 375 507 585 625 845 975 1125 1453 1521 1625 1875 2535 2925 3125 4225 4359 4875 5625 7265 7605 8125 9375 12675 13077 14625 15625 18889 21125 21795 24375 28125 36325 38025 40625 46875 56667 63375 65385 73125 94445 105625 108975 121875 140625 170001 181625 190125 203125 245557 283335 316875 326925 365625 472225 528125 544875 609375 736671 850005 908125 950625 1227785 1416675 1584375 1634625 1828125 2210013 2361125 2640625 2724375 3683355 4250025 4540625 4753125 6138925 7083375 7921875 8173125 11050065 11805625 13621875 18416775 21250125 22703125 23765625 30694625 35416875 40865625 55250325 59028125 68109375 92083875 106250625 153473125 177084375 204328125 276251625 295140625 460419375 531253125 767365625 885421875 1381258125 2302096875 2656265625 3836828125 6906290625 11510484375 34531453125