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7056252944 = 24132532929
BaseRepresentation
bin1101001001001010…
…11110000000010000
3200012202120210022122
412210211132000100
5103422400043234
63124103553412
7336601106006
oct64445360020
920182523278
107056252944
112aa1086304
12144b15b868
13885b70500
144ad200a76
152b472b92e
hex1a495e010

7056252944 has 90 divisors (see below), whose sum is σ = 15104873070. Its totient is φ = 3191844864.

The previous prime is 7056252937. The next prime is 7056252977. The reversal of 7056252944 is 4492526507.

It can be written as a sum of positive squares in 9 ways, for example, as 4174710544 + 2881542400 = 64612^2 + 53680^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7056252895 and 7056252904.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7595072 + ... + 7596000.

It is an arithmetic number, because the mean of its divisors is an integer number (167831923).

Almost surely, 27056252944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7056252944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552436535).

7056252944 is an abundant number, since it is smaller than the sum of its proper divisors (8048620126).

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

7056252944 is a wasteful number, since it uses less digits than its factorization.

7056252944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 7056252944 is about 84001.5056055545. The cubic root of 7056252944 is about 1918.0417084828.

The spelling of 7056252944 in words is "seven billion, fifty-six million, two hundred fifty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 169 208 212 338 424 676 689 848 929 1352 1378 1858 2704 2756 2809 3716 5512 5618 7432 8957 11024 11236 12077 14864 17914 22472 24154 35828 36517 44944 48308 49237 71656 73034 96616 98474 143312 146068 157001 193232 196948 292136 314002 393896 474721 584272 628004 640081 787792 949442 1256008 1280162 1898884 2512016 2560324 2609561 3797768 5120648 5219122 7595536 8321053 10241296 10438244 16642106 20876488 33284212 33924293 41752976 66568424 67848586 133136848 135697172 271394344 441015809 542788688 882031618 1764063236 3528126472 7056252944