Search a number
-
+
7045252096 = 210432612
BaseRepresentation
bin1101000111110111…
…00000010000000000
3200011222212212222211
412203323200100000
5103412041031341
63123032111504
7336405440401
oct64373402000
920158785884
107045252096
112a959521a3
121447535594
138837bb22c
144ab9799a8
152b37a7181
hex1a3ee0400

7045252096 has 99 divisors (see below), whose sum is σ = 14659015293. Its totient is φ = 3384299520.

The previous prime is 7045252091. The next prime is 7045252111. The reversal of 7045252096 is 6902525407.

The square root of 7045252096 is 83936.

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., 229098496 + 6816153600 = 15136^2 + 82560^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7045252091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115495906 + ... + 115495966.

Almost surely, 27045252096 is an apocalyptic number.

7045252096 is the 83936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7045252096

7045252096 is an abundant number, since it is smaller than the sum of its proper divisors (7613763197).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7045252096 is an frugal number, since it uses more digits than its factorization.

7045252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The cubic root of 7045252096 is about 1917.0444341444.

The spelling of 7045252096 in words is "seven billion, forty-five million, two hundred fifty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 43 61 64 86 122 128 172 244 256 344 488 512 688 976 1024 1376 1849 1952 2623 2752 3698 3721 3904 5246 5504 7396 7442 7808 10492 11008 14792 14884 15616 20984 22016 29584 29768 31232 41968 44032 59168 59536 62464 83936 112789 118336 119072 160003 167872 225578 236672 238144 320006 335744 451156 473344 476288 640012 671488 902312 946688 952576 1280024 1342976 1804624 1893376 1905152 2560048 2685952 3609248 3810304 5120096 6880129 7218496 10240192 13760258 14436992 20480384 27520516 28873984 40960768 55041032 57747968 81921536 110082064 115495936 163843072 220164128 440328256 880656512 1761313024 3522626048 7045252096