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5785294909696 = 281503292
BaseRepresentation
bin101010000101111111001…
…1100101011000100000000
3202111001212011000212202121
41110023332130223010000
51224241240444102241
620145421111454024
71134655000233601
oct124137634530400
922431764025677
105785294909696
111930591177265
1279528b687314
1332c72162c773
1416001cb33da8
15a074ea54ad1
hex542fe72b100

5785294909696 has 27 divisors (see below), whose sum is σ = 11548067829781. Its totient is φ = 2892628212736.

The previous prime is 5785294909657. The next prime is 5785294909697. The reversal of 5785294909696 is 6969094925875.

The square root of 5785294909696 is 2405264.

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

It can be written as a sum of positive squares in only one way, i.e., 4908599767296 + 876695142400 = 2215536^2 + 936320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5785294909697) 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 2 ways as a sum of consecutive naturals, for example, 38409060 + ... + 38559388.

Almost surely, 25785294909696 is an apocalyptic number.

5785294909696 is the 2405264-th square number.

It is an amenable number.

5785294909696 is a deficient number, since it is larger than the sum of its proper divisors (5762772920085).

5785294909696 is an frugal number, since it uses more digits than its factorization.

5785294909696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300674 (or 150331 counting only the distinct ones).

The product of its (nonzero) digits is 2645395200, while the sum is 79.

The spelling of 5785294909696 in words is "five trillion, seven hundred eighty-five billion, two hundred ninety-four million, nine hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 150329 300658 601316 1202632 2405264 4810528 9621056 19242112 38484224 22598808241 45197616482 90395232964 180790465928 361580931856 723161863712 1446323727424 2892647454848 5785294909696