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5387988384 = 2532199710151
BaseRepresentation
bin1010000010010011…
…00010110110100000
3111220111110011120100
411001021202312200
542013311112014
62250351142400
7250343100642
oct50111426640
914814404510
105387988384
112315419469
121064514a00
1367b355b0c
1439181a892
15218046009
hex141262da0

5387988384 has 144 divisors (see below), whose sum is σ = 16296396480. Its totient is φ = 1683763200.

The previous prime is 5387988377. The next prime is 5387988421. The reversal of 5387988384 is 4838897835.

5387988384 is a `hidden beast` number, since 538 + 7 + 98 + 8 + 3 + 8 + 4 = 666.

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

It is a super-2 number, since 2×53879883842 = 58060837652237862912, which contains 22 as substring.

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, 525709 + ... + 535859.

It is an arithmetic number, because the mean of its divisors is an integer number (113169420).

Almost surely, 25387988384 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 5387988384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8148198240).

5387988384 is an abundant number, since it is smaller than the sum of its proper divisors (10908408096).

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

5387988384 is a wasteful number, since it uses less digits than its factorization.

5387988384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283 (or 10272 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 5387988384 is about 73402.9180891332. The cubic root of 5387988384 is about 1753.1088558133.

The spelling of 5387988384 in words is "five billion, three hundred eighty-seven million, nine hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 97 114 144 152 171 194 228 288 291 304 342 388 456 582 608 684 776 873 912 1164 1368 1552 1746 1824 1843 2328 2736 3104 3492 3686 4656 5472 5529 6984 7372 9312 10151 11058 13968 14744 16587 20302 22116 27936 29488 30453 33174 40604 44232 58976 60906 66348 81208 88464 91359 121812 132696 162416 176928 182718 192869 243624 265392 324832 365436 385738 487248 530784 578607 730872 771476 974496 984647 1157214 1461744 1542952 1735821 1969294 2314428 2923488 2953941 3085904 3471642 3938588 4628856 5907882 6171808 6943284 7877176 8861823 9257712 11815764 13886568 15754352 17723646 18515424 18708293 23631528 27773136 31508704 35447292 37416586 47263056 55546272 56124879 70894584 74833172 94526112 112249758 141789168 149666344 168374637 224499516 283578336 299332688 336749274 448999032 598665376 673498548 897998064 1346997096 1795996128 2693994192 5387988384