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20434515075 = 32521345715287
BaseRepresentation
bin10011000001111111…
…011111010010000011
31221202010010220212200
4103001333133102003
5313322213440300
613215410324243
71322246340462
oct230177372203
957663126780
1020434515075
118736829697
123b63589683
131c08712350
14dbbcb29d9
157e8e9b200
hex4c1fdf483

20434515075 has 72 divisors (see below), whose sum is σ = 39504742368. Its totient is φ = 10037399040.

The previous prime is 20434515019. The next prime is 20434515097. The reversal of 20434515075 is 57051543402.

20434515075 is a `hidden beast` number, since 2 + 0 + 434 + 5 + 150 + 75 = 666.

It is not a de Polignac number, because 20434515075 - 28 = 20434514819 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1329082 + ... + 1344368.

Almost surely, 220434515075 is an apocalyptic number.

20434515075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20434515075 is a deficient number, since it is larger than the sum of its proper divisors (19070227293).

20434515075 is a wasteful number, since it uses less digits than its factorization.

20434515075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773 (or 15765 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 20434515075 in words is "twenty billion, four hundred thirty-four million, five hundred fifteen thousand, seventy-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 457 585 975 1371 2285 2925 4113 5941 6855 11425 15287 17823 20565 29705 34275 45861 53469 76435 89115 102825 137583 148525 198731 229305 267345 382175 445575 596193 687915 993655 1146525 1336725 1788579 2980965 3439575 4968275 6986159 8942895 14904825 20958477 34930795 44714475 62875431 90820067 104792385 174653975 272460201 314377155 454100335 523961925 817380603 1362301005 1571885775 2270501675 4086903015 6811505025 20434515075