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34802768025 = 3252124372
BaseRepresentation
bin100000011010011010…
…000001100010011001
310022211110112210112100
4200122122001202121
51032234002034100
623553240034013
72341305434664
oct403232014231
9108743483470
1034802768025
111383a289803
1268b3462909
1333883c857c
1419822486db
15d8a5c1400
hex81a681899

34802768025 has 27 divisors (see below), whose sum is σ = 62340637021. Its totient is φ = 18559983840.

The previous prime is 34802768023. The next prime is 34802768029. The reversal of 34802768025 is 52086720843.

The square root of 34802768025 is 186555.

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

34802768025 is a `hidden beast` number, since 3 + 480 + 2 + 76 + 80 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15712371801 + 19090396224 = 125349^2 + 138168^2 .

It is not a de Polignac number, because 34802768025 - 21 = 34802768023 is a prime.

It is a super-2 number, since 2×348027680252 (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34802768023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2792107 + ... + 2804543.

Almost surely, 234802768025 is an apocalyptic number.

34802768025 is the 186555-th square number.

34802768025 is the 93278-th centered octagonal number.

It is an amenable number.

34802768025 is a deficient number, since it is larger than the sum of its proper divisors (27537868996).

34802768025 is an frugal number, since it uses more digits than its factorization.

34802768025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24890 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 34802768025 in words is "thirty-four billion, eight hundred two million, seven hundred sixty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 12437 37311 62185 111933 186555 310925 559665 932775 2798325 154678969 464036907 773394845 1392110721 2320184535 3866974225 6960553605 11600922675 34802768025