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2740928580625 = 5447214092
BaseRepresentation
bin100111111000101100000…
…100110000110000010001
3100201000211000200120100111
4213320230010300300101
5324401410204040000
65455055403521321
7402011523345364
oct47705404606021
910630730616314
102740928580625
1196746a800924
12383263529241
1316b612276151
14969397dc0db
154b470341cba
hex27e2c130c11

2740928580625 has 45 divisors (see below), whose sum is σ = 3501973999447. Its totient is φ = 2144565632000.

The previous prime is 2740928580623. The next prime is 2740928580713. The reversal of 2740928580625 is 5260858290472.

The square root of 2740928580625 is 1655575.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2661828143121 + 79100437504 = 1631511^2 + 281248^2 .

It is not a de Polignac number, because 2740928580625 - 21 = 2740928580623 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2740928580625.

It is not an unprimeable number, because it can be changed into a prime (2740928580623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1945299921 + ... + 1945301329.

Almost surely, 22740928580625 is an apocalyptic number.

2740928580625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2740928580625 is the 1655575-th square number.

2740928580625 is the 827788-th centered octagonal number.

It is an amenable number.

2740928580625 is a deficient number, since it is larger than the sum of its proper divisors (761045418822).

2740928580625 is an frugal number, since it uses more digits than its factorization.

2740928580625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 58.

The spelling of 2740928580625 in words is "two trillion, seven hundred forty billion, nine hundred twenty-eight million, five hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 47 125 235 625 1175 1409 2209 5875 7045 11045 29375 35225 55225 66223 176125 276125 331115 880625 1380625 1655575 1985281 3112481 8277875 9926405 15562405 41389375 49632025 77812025 93308207 248160125 389060125 466541035 1240800625 1945300625 2332705175 4385485729 11663525875 21927428645 58317629375 109637143225 548185716125 2740928580625