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5323531136 = 277111274253
BaseRepresentation
bin1001111010100111…
…01010001110000000
3111202000011101211212
410331103222032000
541400310444021
62240125425252
7245631160640
oct47523521600
914660141755
105323531136
112291aa3810
121046a0b228
1366aba8131
1438703c520
1521256285b
hex13d4ea380

5323531136 has 128 divisors (see below), whose sum is σ = 13329653760. Its totient is φ = 2057287680.

The previous prime is 5323531121. The next prime is 5323531139. The reversal of 5323531136 is 6311353235.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×53235311362 = 56679967511922900992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5323531139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249586 + ... + 1253838.

It is an arithmetic number, because the mean of its divisors is an integer number (104137920).

Almost surely, 25323531136 is an apocalyptic number.

5323531136 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 5323531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664826880).

5323531136 is an abundant number, since it is smaller than the sum of its proper divisors (8006122624).

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

5323531136 is a wasteful number, since it uses less digits than its factorization.

5323531136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4400 counting only the distinct ones).

The product of its digits is 24300, while the sum is 32.

The square root of 5323531136 is about 72962.5324121908. The cubic root of 5323531136 is about 1746.0898970372.

The spelling of 5323531136 in words is "five billion, three hundred twenty-three million, five hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 127 128 154 176 224 254 308 352 448 508 616 704 889 896 1016 1232 1397 1408 1778 2032 2464 2794 3556 4064 4253 4928 5588 7112 8128 8506 9779 9856 11176 14224 16256 17012 19558 22352 28448 29771 34024 39116 44704 46783 56896 59542 68048 78232 89408 93566 113792 119084 136096 156464 178816 187132 238168 272192 312928 327481 374264 476336 540131 544384 625856 654962 748528 952672 1080262 1251712 1309924 1497056 1905344 2160524 2619848 2994112 3780917 3810688 4321048 5239696 5941441 5988224 7561834 8642096 10479392 11882882 15123668 17284192 20958784 23765764 30247336 34568384 41590087 41917568 47531528 60494672 69136768 83180174 95063056 120989344 166360348 190126112 241978688 332720696 380252224 483957376 665441392 760504448 1330882784 2661765568 5323531136