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1052544676096 = 2837217332
BaseRepresentation
bin11110101000100001000…
…11010011000100000000
310201121210122111112110201
433110100203103010000
5114221102414113341
62123310553134544
7136021016062354
oct17242043230400
93647718445421
101052544676096
11376422036841
1214bba70ba454
13783402aaa64
1438d2cad7464
151c5a470e331
hexf5108d3100

1052544676096 has 81 divisors (see below), whose sum is σ = 2160542421471. Its totient is φ = 511753291776.

The previous prime is 1052544676093. The next prime is 1052544676147. The reversal of 1052544676096 is 6906764452501.

The square root of 1052544676096 is 1025936.

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

It can be written as a sum of positive squares in 4 ways, for example, as 158990397696 + 893554278400 = 398736^2 + 945280^2 .

It is a super-2 number, since 2×10525446760962 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1052544676093) 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, 607353246 + ... + 607354978.

Almost surely, 21052544676096 is an apocalyptic number.

1052544676096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1052544676096 is the 1025936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052544676096

1052544676096 is an abundant number, since it is smaller than the sum of its proper divisors (1107997745375).

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

1052544676096 is an frugal number, since it uses more digits than its factorization.

1052544676096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3556 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 1052544676096 in words is "one trillion, fifty-two billion, five hundred forty-four million, six hundred seventy-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1369 1733 2368 2738 3466 4736 5476 6932 9472 10952 13864 21904 27728 43808 55456 64121 87616 110912 128242 175232 221824 256484 350464 443648 512968 1025936 2051872 2372477 3003289 4103744 4744954 6006578 8207488 9489908 12013156 16414976 18979816 24026312 37959632 48052624 75919264 96105248 111121693 151838528 192210496 222243386 303677056 384420992 444486772 607354112 768841984 888973544 1777947088 3555894176 4111502641 7111788352 8223005282 14223576704 16446010564 28447153408 32892021128 65784042256 131568084512 263136169024 526272338048 1052544676096