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245178474025 = 5216725932
BaseRepresentation
bin1110010001010111000…
…1101001111000101001
3212102211220112221220011
43210111301221320221
513004111142132100
6304344453331521
723466515433502
oct3442561517051
9772756487804
10245178474025
1194a85947441
123b625936ba1
131a1741bb744
14bc1c32bba9
15659e8b8bba
hex3915c69e29

245178474025 has 27 divisors (see below), whose sum is σ = 306369337381. Its totient is φ = 194639488640.

The previous prime is 245178474007. The next prime is 245178474029. The reversal of 245178474025 is 520474871542.

The square root of 245178474025 is 495155.

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

245178474025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 165353881 + 245013120144 = 12859^2 + 494988^2 .

It is not a de Polignac number, because 245178474025 - 25 = 245178473993 is a prime.

It is a super-2 number, since 2×2451784740252 (a number of 24 digits) contains 22 as substring.

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 245178474025.

It is not an unprimeable number, because it can be changed into a prime (245178474029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 413454129 + ... + 413454721.

Almost surely, 2245178474025 is an apocalyptic number.

245178474025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

245178474025 is the 495155-th square number.

245178474025 is the 247578-th centered octagonal number.

It is an amenable number.

245178474025 is a deficient number, since it is larger than the sum of its proper divisors (61190863356).

245178474025 is an frugal number, since it uses more digits than its factorization.

245178474025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 49.

Multiplying 245178474025 by its sum of digits (49), we get a square (12013745227225 = 34660852).

The spelling of 245178474025 in words is "two hundred forty-five billion, one hundred seventy-eight million, four hundred seventy-four thousand, twenty-five".

Divisors: 1 5 25 167 593 835 2965 4175 14825 27889 99031 139445 351649 495155 697225 1758245 2475775 8791225 16538177 58725383 82690885 293626915 413454425 1468134575 9807138961 49035694805 245178474025