Search a number
-
+
80602049025 = 38527012
BaseRepresentation
bin100101100010001000…
…0011010101000000001
321201001021222100000000
41023010100122220001
52310033111032100
6101010021350213
75552252053401
oct1130420325001
9251037870000
1080602049025
1131201834463
1213755568369
1377a6a9a244
143c88ad6801
15216b293900
hex12c441aa01

80602049025 has 81 divisors (see below), whose sum is σ = 150126354313. Its totient is φ = 42926436000.

The previous prime is 80602048987. The next prime is 80602049039. The reversal of 80602049025 is 52094020608.

It is a happy number.

The square root of 80602049025 is 283905.

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

80602049025 is a `hidden beast` number, since 8 + 0 + 602 + 0 + 49 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5469046209 + 75133002816 = 73953^2 + 274104^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 80602049025 - 217 = 80601917953 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 114981175 + ... + 114981875.

Almost surely, 280602049025 is an apocalyptic number.

80602049025 is the 283905-th square number.

80602049025 is the 141953-rd centered octagonal number.

It is an amenable number.

80602049025 is a deficient number, since it is larger than the sum of its proper divisors (69524305288).

80602049025 is an frugal number, since it uses more digits than its factorization.

80602049025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 80602049025 by its sum of digits (36), we get a square (2901673764900 = 17034302).

The spelling of 80602049025 in words is "eighty billion, six hundred two million, forty-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 701 729 1215 2025 2103 2187 3505 3645 6075 6309 6561 10515 10935 17525 18225 18927 31545 32805 52575 54675 56781 94635 157725 164025 170343 283905 473175 491401 511029 851715 1419525 1474203 1533087 2457005 2555145 4258575 4422609 4599261 7371015 7665435 12285025 12775725 13267827 22113045 22996305 36855075 38327175 39803481 66339135 110565225 114981525 119410443 199017405 331695675 358231329 597052215 995087025 1074693987 1791156645 2985261075 3224081961 5373469935 8955783225 16120409805 26867349675 80602049025