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5356741152 = 253724724229
BaseRepresentation
bin1001111110100100…
…10110001000100000
3111211022122122102110
410333102112020200
541432311204102
62243313315320
7246513356100
oct47722261040
914738578373
105356741152
1122a9816a04
121055b65b40
13674a35229
1438b605200
1521542286c
hex13f496220

5356741152 has 144 divisors (see below), whose sum is σ = 16705906560. Its totient is φ = 1497871872.

The previous prime is 5356741151. The next prime is 5356741153. The reversal of 5356741152 is 2511476535.

It is an interprime number because it is at equal distance from previous prime (5356741151) and next prime (5356741153).

It is a self number, because there is not a number n which added to its sum of digits gives 5356741152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5356741151) 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, 208974 + ... + 233202.

It is an arithmetic number, because the mean of its divisors is an integer number (116013240).

Almost surely, 25356741152 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 5356741152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8352953280).

5356741152 is an abundant number, since it is smaller than the sum of its proper divisors (11349165408).

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

5356741152 is a wasteful number, since it uses less digits than its factorization.

5356741152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24303 (or 24288 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 5356741152 is about 73189.7612511477. The cubic root of 5356741152 is about 1749.7132756916.

The spelling of 5356741152 in words is "five billion, three hundred fifty-six million, seven hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 49 56 84 94 96 98 112 141 147 168 188 196 224 282 294 329 336 376 392 564 588 658 672 752 784 987 1128 1176 1316 1504 1568 1974 2256 2303 2352 2632 3948 4512 4606 4704 5264 6909 7896 9212 10528 13818 15792 18424 24229 27636 31584 36848 48458 55272 72687 73696 96916 110544 145374 169603 193832 221088 290748 339206 387664 508809 581496 678412 775328 1017618 1138763 1162992 1187221 1356824 2035236 2277526 2325984 2374442 2713648 3416289 3561663 4070472 4555052 4748884 5427296 6832578 7123326 7971341 8140944 9110104 9497768 13665156 14246652 15942682 16281888 18220208 18995536 23914023 27330312 28493304 31885364 36440416 37991072 47828046 54660624 55799387 56986608 63770728 95656092 109321248 111598774 113973216 127541456 167398161 191312184 223197548 255082912 334796322 382624368 446395096 669592644 765248736 892790192 1339185288 1785580384 2678370576 5356741152