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2069929625625 = 3254191832
BaseRepresentation
bin11110000111110001011…
…010111000100000011001
321022212211221202220100100
4132013301122320200121
5232403203441010000
64222525035330013
7302355533341431
oct36076132704031
97285757686310
102069929625625
11728941346614
122951bb2b0909
1312026923b984
1472283dc72c1
1538c9c33ba00
hex1e1f16b8819

2069929625625 has 45 divisors (see below), whose sum is σ = 3736371750969. Its totient is φ = 1103904918000.

The previous prime is 2069929625591. The next prime is 2069929625639. The reversal of 2069929625625 is 5265269299602.

The square root of 2069929625625 is 1438725.

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

2069929625625 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 9 + 2 + 9 + 62 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 162282482649 + 1907647142976 = 402843^2 + 1381176^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2069929625625 - 225 = 2069896071193 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 107894784 + ... + 107913966.

Almost surely, 22069929625625 is an apocalyptic number.

2069929625625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2069929625625 is the 1438725-th square number.

2069929625625 is the 719363-rd centered octagonal number.

It is an amenable number.

2069929625625 is a deficient number, since it is larger than the sum of its proper divisors (1666442125344).

2069929625625 is an frugal number, since it uses more digits than its factorization.

2069929625625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38392 (or 19191 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 2069929625625 in words is "two trillion, sixty-nine billion, nine hundred twenty-nine million, six hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 625 1125 1875 5625 19183 57549 95915 172647 287745 479575 863235 1438725 2397875 4316175 7193625 11989375 21580875 35968125 107904375 367987489 1103962467 1839937445 3311887401 5519812335 9199687225 16559437005 27599061675 45998436125 82797185025 137995308375 229992180625 413985925125 689976541875 2069929625625