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5333404986 = 2347133311093
BaseRepresentation
bin1001111011110010…
…10100110100111010
3111202200202001020000
410331321110310322
541410322424421
62241121213430
7246111123450
oct47571246472
914680661200
105333404986
112297628118
12104a191276
1366cc54450
1438848c9d0
15213363226
hex13de54d3a

5333404986 has 160 divisors (see below), whose sum is σ = 14766584448. Its totient is φ = 1401079680.

The previous prime is 5333404969. The next prime is 5333404987. The reversal of 5333404986 is 6894043335.

5333404986 is a `hidden beast` number, since 533 + 34 + 0 + 4 + 9 + 86 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5333404987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4879056 + ... + 4880148.

Almost surely, 25333404986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5333404986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383292224).

5333404986 is an abundant number, since it is smaller than the sum of its proper divisors (9433179462).

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

5333404986 is a wasteful number, since it uses less digits than its factorization.

5333404986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 5333404986 is about 73030.1649046474. The cubic root of 5333404986 is about 1747.1687537338.

The spelling of 5333404986 in words is "five billion, three hundred thirty-three million, four hundred four thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 331 351 378 546 567 662 702 819 993 1053 1093 1134 1638 1986 2106 2186 2317 2457 2979 3279 4303 4634 4914 5958 6558 6951 7371 7651 8606 8937 9837 12909 13902 14209 14742 15302 17874 19674 20853 22953 25818 26811 28418 29511 30121 38727 41706 42627 45906 53622 59022 60242 62559 68859 77454 85254 88533 90363 99463 116181 125118 127881 137718 177066 180726 187677 198926 206577 232362 255762 271089 298389 348543 361783 375354 383643 413154 542178 596778 619731 697086 723566 767286 813267 895167 1085349 1150929 1239462 1626534 1790334 2170698 2301858 2439801 2532481 2685501 3256047 4703179 4879602 5064962 5371002 6512094 7597443 8056503 9406358 9768141 14109537 15194886 16113006 19536282 22792329 28219074 29304423 32922253 42328611 45584658 58608846 65844506 68376987 84657222 98766759 126985833 136753974 197533518 205130961 253971666 296300277 380957499 410261922 592600554 761914998 888900831 1777801662 2666702493 5333404986