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1354930920225 = 3452258672
BaseRepresentation
bin10011101101111000001…
…011010001101100100001
311210112022110120022210000
4103231320023101230201
5134144344303421400
62514240251530213
7166614310540011
oct23557013215441
94715273508700
101354930920225
114826941aa623
1219a717759969
139aa005ba02c
1449816b17c41
15253a1628600
hex13b782d1b21

1354930920225 has 45 divisors (see below), whose sum is σ = 2509897466307. Its totient is φ = 722601887760.

The previous prime is 1354930920223. The next prime is 1354930920247. The reversal of 1354930920225 is 5220290394531.

The square root of 1354930920225 is 1164015.

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

1354930920225 is a `hidden beast` number, since 1 + 354 + 93 + 0 + 9 + 202 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 487775131281 + 867155788944 = 698409^2 + 931212^2 .

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

It is not a de Polignac number, because 1354930920225 - 21 = 1354930920223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1354930920223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 52367742 + ... + 52393608.

Almost surely, 21354930920225 is an apocalyptic number.

1354930920225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1354930920225 is the 1164015-th square number.

1354930920225 is the 582008-th centered octagonal number.

It is an amenable number.

1354930920225 is a deficient number, since it is larger than the sum of its proper divisors (1154966546082).

1354930920225 is an frugal number, since it uses more digits than its factorization.

1354930920225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51756 (or 25875 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1354930920225 in words is "one trillion, three hundred fifty-four billion, nine hundred thirty million, nine hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 25867 77601 129335 232803 388005 646675 698409 1164015 1940025 2095227 3492045 5820075 10476135 17460225 52380675 669101689 2007305067 3345508445 6021915201 10036525335 16727542225 18065745603 30109576005 50182626675 54197236809 90328728015 150547880025 270986184045 451643640075 1354930920225