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63152364840 = 23351394099257
BaseRepresentation
bin111010110100001011…
…001001110100101000
320001000012022112100120
4322310023021310220
52013314001133330
645002314203240
74363655146515
oct726413116450
9201005275316
1063152364840
1124867955464
12102a5723520
135c5588ab26
1430b13dc30c
151999391c10
hexeb42c9d28

63152364840 has 128 divisors (see below), whose sum is σ = 191307312000. Its totient is φ = 16676794368.

The previous prime is 63152364773. The next prime is 63152364841. The reversal of 63152364840 is 4846325136.

It is a junction number, because it is equal to n+sod(n) for n = 63152364792 and 63152364801.

It is not an unprimeable number, because it can be changed into a prime (63152364841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6817492 + ... + 6826748.

It is an arithmetic number, because the mean of its divisors is an integer number (1494588375).

Almost surely, 263152364840 is an apocalyptic number.

63152364840 is a gapful number since it is divisible by the number (60) 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 63152364840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95653656000).

63152364840 is an abundant number, since it is smaller than the sum of its proper divisors (128154947160).

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

63152364840 is a wasteful number, since it uses less digits than its factorization.

63152364840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 63152364840 its reverse (4846325136), we get a palindrome (67998689976).

The spelling of 63152364840 in words is "sixty-three billion, one hundred fifty-two million, three hundred sixty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 409 417 556 695 818 834 1112 1227 1390 1636 1668 2045 2085 2454 2780 3272 3336 4090 4170 4908 5560 6135 8180 8340 9257 9816 12270 16360 16680 18514 24540 27771 37028 46285 49080 55542 56851 74056 92570 111084 113702 138855 170553 185140 222168 227404 277710 284255 341106 370280 454808 555420 568510 682212 852765 1110840 1137020 1286723 1364424 1705530 2274040 2573446 3411060 3786113 3860169 5146892 6433615 6822120 7572226 7720338 10293784 11358339 12867230 15144452 15440676 18930565 19300845 22716678 25734460 30288904 30881352 37861130 38601690 45433356 51468920 56791695 75722260 77203380 90866712 113583390 151444520 154406760 227166780 454333560 526269707 1052539414 1578809121 2105078828 2631348535 3157618242 4210157656 5262697070 6315236484 7894045605 10525394140 12630472968 15788091210 21050788280 31576182420 63152364840