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5346708167025 = 32521541532
BaseRepresentation
bin100110111001110000010…
…1001000001100101110001
3200221010210021200212212100
41031303200221001211301
51200100024242321100
615212124355451013
71061200261361541
oct115634051014561
920833707625770
105346708167025
11178158740aa95
127242898b6a69
132ca26697ca14
14146ad3d67321
1594130787400
hex4dce0a41971

5346708167025 has 27 divisors (see below), whose sum is σ = 9576610529889. Its totient is φ = 2851559190720.

The previous prime is 5346708166967. The next prime is 5346708167027. The reversal of 5346708167025 is 5207618076435.

The square root of 5346708167025 is 2312295.

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

5346708167025 is a `hidden beast` number, since 534 + 6 + 7 + 0 + 8 + 16 + 70 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1110306871521 + 4236401295504 = 1053711^2 + 2058252^2 .

It is not a de Polignac number, because 5346708167025 - 223 = 5346699778417 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5346708167027) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 34607349 + ... + 34761501.

Almost surely, 25346708167025 is an apocalyptic number.

5346708167025 is the 2312295-th square number.

5346708167025 is the 1156148-th centered octagonal number.

It is an amenable number.

5346708167025 is a deficient number, since it is larger than the sum of its proper divisors (4229902362864).

5346708167025 is an frugal number, since it uses more digits than its factorization.

5346708167025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308322 (or 154161 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 5346708167025 in words is "five trillion, three hundred forty-six billion, seven hundred eight million, one hundred sixty-seven thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 154153 462459 770765 1387377 2312295 3853825 6936885 11561475 34684425 23763147409 71289442227 118815737045 213868326681 356447211135 594078685225 1069341633405 1782236055675 5346708167025