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639352164025 = 521722324092
BaseRepresentation
bin10010100110111000101…
…10111100111010111001
32021010021112220010002201
421103130112330322321
540433343123222100
61205414143430201
764122512504131
oct11233426747271
92233245803081
10639352164025
112271696a0903
12a3ab18b5361
13483a1735a73
1422d327b5ac1
151196ea3836a
hex94dc5bceb9

639352164025 has 81 divisors (see below), whose sum is σ = 882541131591. Its totient is φ = 459338542080.

The previous prime is 639352164019. The next prime is 639352164167. The reversal of 639352164025 is 520461253936.

The square root of 639352164025 is 799595.

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

It can be written as a sum of positive squares in 13 ways, for example, as 13209134761 + 626143029264 = 114931^2 + 791292^2 .

It is not a de Polignac number, because 639352164025 - 223 = 639343775417 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1563208021 + ... + 1563208429.

Almost surely, 2639352164025 is an apocalyptic number.

639352164025 is the 799595-th square number.

639352164025 is the 399798-th centered octagonal number.

It is an amenable number.

639352164025 is a deficient number, since it is larger than the sum of its proper divisors (243188967566).

639352164025 is an equidigital number, since it uses as much as digits as its factorization.

639352164025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

It can be divided in two parts, 6393521 and 64025, that added together give a palindrome (6457546).

The spelling of 639352164025 in words is "six hundred thirty-nine billion, three hundred fifty-two million, one hundred sixty-four thousand, twenty-five".

Divisors: 1 5 17 23 25 85 115 289 391 409 425 529 575 1445 1955 2045 2645 6647 6953 7225 8993 9407 9775 10225 13225 33235 34765 44965 47035 118201 152881 159919 166175 167281 173825 216361 224825 235175 591005 764405 799595 836405 1081805 2718623 2843777 2955025 3678137 3822025 3847463 3997975 4182025 5409025 13593115 14218885 18390685 19237315 48344209 62528329 65406871 67965575 71094425 88491649 91953425 96186575 241721045 312641645 327034355 442458245 1111916807 1208605225 1504358033 1563208225 1635171775 2212291225 5559584035 7521790165 25574086561 27797920175 37608950825 127870432805 639352164025