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11298735952 = 247210921213
BaseRepresentation
bin10101000010111010…
…10000011101010000
31002011102120020220221
422201131100131100
5141114434022302
65105055042424
7546664446100
oct124135203520
932142506827
1011298735952
114878929609
122233b10414
1310b0aa1c9a
14792835200
15461ded937
hex2a1750750

11298735952 has 90 divisors (see below), whose sum is σ = 25722349758. Its totient is φ = 4793935104.

The previous prime is 11298735949. The next prime is 11298735953. The reversal of 11298735952 is 25953789211.

It can be written as a sum of positive squares in 3 ways, for example, as 1013530896 + 10285205056 = 31836^2 + 101416^2 .

It is a super-2 number, since 2×112987359522 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11298735952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11298735953) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9314098 + ... + 9315310.

Almost surely, 211298735952 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 11298735952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12861174879).

11298735952 is an abundant number, since it is smaller than the sum of its proper divisors (14423613806).

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

11298735952 is a wasteful number, since it uses less digits than its factorization.

11298735952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1331 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 52.

The spelling of 11298735952 in words is "eleven billion, two hundred ninety-eight million, seven hundred thirty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 109 112 196 218 392 436 763 784 872 1213 1526 1744 2426 3052 4852 5341 6104 8491 9704 10682 11881 12208 16982 19408 21364 23762 33964 42728 47524 59437 67928 83167 85456 95048 118874 132217 135856 166334 190096 237748 264434 332668 475496 528868 582169 665336 925519 950992 1057736 1164338 1330672 1851038 2115472 2328676 3702076 4657352 6478633 7404152 9314704 12957266 14411653 14808304 25914532 28823306 51829064 57646612 100881571 103658128 115293224 201763142 230586448 403526284 706170997 807052568 1412341994 1614105136 2824683988 5649367976 11298735952