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5369738976 = 2532723115807
BaseRepresentation
bin1010000000000111…
…11011011011100000
3111212020010000002100
411000003323123200
541444123121401
62244500050400
7250032012450
oct50003733340
914766100070
105369738976
112306094408
12105a393a00
13677636454
1438d229d60
1521663db86
hex1400fb6e0

5369738976 has 144 divisors (see below), whose sum is σ = 18210576384. Its totient is φ = 1467493632.

The previous prime is 5369738971. The next prime is 5369739013. The reversal of 5369738976 is 6798379635.

5369738976 is a `hidden beast` number, since 536 + 9 + 7 + 3 + 8 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5369738971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11536 + ... + 104271.

It is an arithmetic number, because the mean of its divisors is an integer number (126462336).

Almost surely, 25369738976 is an apocalyptic number.

5369738976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5369738976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9105288192).

5369738976 is an abundant number, since it is smaller than the sum of its proper divisors (12840837408).

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

5369738976 is a wasteful number, since it uses less digits than its factorization.

5369738976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115853 (or 115842 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The square root of 5369738976 is about 73278.5028231336. The cubic root of 5369738976 is about 1751.1273254464.

The spelling of 5369738976 in words is "five billion, three hundred sixty-nine million, seven hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 115807 231614 347421 463228 694842 810649 926456 1042263 1389684 1621298 1852912 2084526 2431947 2663561 2779368 3242596 3705824 4169052 4863894 5327122 5558736 6485192 7295841 7990683 8338104 9727788 10654244 11117472 12970384 14591682 15981366 16676208 18644927 19455576 21308488 23972049 25940768 29183364 31962732 33352416 37289854 38911152 42616976 47944098 55934781 58366728 63925464 74579708 77822304 85233952 95888196 111869562 116733456 127850928 149159416 167804343 191776392 223739124 233466912 255701856 298318832 335608686 383552784 447478248 596637664 671217372 767105568 894956496 1342434744 1789912992 2684869488 5369738976