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11244878744 = 23113143257373
BaseRepresentation
bin10100111100011111…
…10011101110011000
31002000200020000201112
422132033303232120
5141012142104434
65055452435452
7545441615021
oct123617635630
932020200645
1011244878744
114850493920
122219a78b88
1310a2896008
14789615c48
1545c310dce
hex29e3f3b98

11244878744 has 128 divisors (see below), whose sum is σ = 24454932480. Its totient is φ = 4799692800.

The previous prime is 11244878741. The next prime is 11244878747. The reversal of 11244878744 is 44787844211.

It is an interprime number because it is at equal distance from previous prime (11244878741) and next prime (11244878747).

It is a junction number, because it is equal to n+sod(n) for n = 11244878692 and 11244878701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244878741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30146942 + ... + 30147314.

It is an arithmetic number, because the mean of its divisors is an integer number (191054160).

Almost surely, 211244878744 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 11244878744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12227466240).

11244878744 is an abundant number, since it is smaller than the sum of its proper divisors (13210053736).

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

11244878744 is a wasteful number, since it uses less digits than its factorization.

11244878744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 717 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 50.

It can be divided in two parts, 11244 and 878744, that added together give a palindrome (889988).

The spelling of 11244878744 in words is "eleven billion, two hundred forty-four million, eight hundred seventy-eight thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 31 43 44 62 86 88 124 172 248 257 341 344 373 473 514 682 746 946 1028 1333 1364 1492 1892 2056 2666 2728 2827 2984 3784 4103 5332 5654 7967 8206 10664 11051 11308 11563 14663 15934 16039 16412 22102 22616 23126 29326 31868 32078 32824 44204 46252 58652 63736 64156 87637 88408 92504 95861 117304 121561 127193 128312 175274 176429 191722 243122 254386 342581 350548 352858 383444 486244 497209 508772 685162 701096 705716 766888 972488 994418 1017544 1054471 1370324 1411432 1988836 2108942 2740648 2971691 3768391 3977672 4122023 4217884 5469299 5943382 7536782 8244046 8435768 10938598 11886764 15073564 16488092 21877196 23773528 30147128 32688601 32976184 43754392 45342253 65377202 90684506 127782713 130754404 181369012 255565426 261508808 362738024 511130852 1022261704 1405609843 2811219686 5622439372 11244878744