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5634682848 = 253243676791
BaseRepresentation
bin1010011111101101…
…00110111111100000
3112112200122112202100
411033312212333200
543014434322343
62331042450400
7256430004534
oct51766467740
915480575670
105634682848
1124316a4693
121113063a00
136ba4aba82
143b64b5bc4
1522ea259d3
hex14fda6fe0

5634682848 has 144 divisors (see below), whose sum is σ = 16643442816. Its totient is φ = 1806900480.

The previous prime is 5634682819. The next prime is 5634682897. The reversal of 5634682848 is 8482864365.

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

It is a super-2 number, since 2×56346828482 = 63499301595090782208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5634682794 and 5634682803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 826333 + ... + 833123.

It is an arithmetic number, because the mean of its divisors is an integer number (115579464).

Almost surely, 25634682848 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 5634682848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321721408).

5634682848 is an abundant number, since it is smaller than the sum of its proper divisors (11008759968).

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

5634682848 is a wasteful number, since it uses less digits than its factorization.

5634682848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917 (or 6906 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The square root of 5634682848 is about 75064.5245638710. The cubic root of 5634682848 is about 1779.4665371039.

The spelling of 5634682848 in words is "five billion, six hundred thirty-four million, six hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 67 72 86 96 129 134 144 172 201 258 268 288 344 387 402 516 536 603 688 774 804 1032 1072 1206 1376 1548 1608 2064 2144 2412 2881 3096 3216 4128 4824 5762 6192 6432 6791 8643 9648 11524 12384 13582 17286 19296 20373 23048 25929 27164 34572 40746 46096 51858 54328 61119 69144 81492 92192 103716 108656 122238 138288 162984 207432 217312 244476 276576 292013 325968 414864 454997 488952 584026 651936 829728 876039 909994 977904 1168052 1364991 1752078 1819988 1955808 2336104 2628117 2729982 3504156 3639976 4094973 4672208 5256234 5459964 7008312 7279952 8189946 9344416 10512468 10919928 14016624 14559904 16379892 19564871 21024936 21839856 28033248 32759784 39129742 42049872 43679712 58694613 65519568 78259484 84099744 117389226 131039136 156518968 176083839 234778452 313037936 352167678 469556904 626075872 704335356 939113808 1408670712 1878227616 2817341424 5634682848