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4989306672 = 243371986837
BaseRepresentation
bin1001010010110001…
…01100011100110000
3110212201021001002000
410221120230130300
540204230303142
62143030054000
7234432256410
oct45130543460
913781231060
104989306672
112130373a49
12b72aaa300
1361688658c
143548ba640
151e304314c
hex12962c730

4989306672 has 160 divisors (see below), whose sum is σ = 17228659200. Its totient is φ = 1350473472.

The previous prime is 4989306661. The next prime is 4989306683. The reversal of 4989306672 is 2766039894.

It is a happy number.

4989306672 is a `hidden beast` number, since 498 + 93 + 0 + 6 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4989306661) and next prime (4989306683).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14038 + ... + 100874.

It is an arithmetic number, because the mean of its divisors is an integer number (107679120).

Almost surely, 24989306672 is an apocalyptic number.

4989306672 is a gapful number since it is divisible by the number (42) 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 4989306672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8614329600).

4989306672 is an abundant number, since it is smaller than the sum of its proper divisors (12239352528).

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

4989306672 is a wasteful number, since it uses less digits than its factorization.

4989306672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86880 (or 86868 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 4989306672 is about 70635.0244000807. The cubic root of 4989306672 is about 1708.7560543710.

The spelling of 4989306672 in words is "four billion, nine hundred eighty-nine million, three hundred six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 86837 173674 260511 347348 521022 607859 694696 781533 1042044 1215718 1389392 1563066 1649903 1823577 2084088 2344599 2431436 3126132 3299806 3647154 4168176 4689198 4862872 4949709 5470731 6252264 6599612 7294308 9378396 9725744 9899418 10941462 11549321 12504528 13199224 14588616 14849127 16412193 18756792 19798836 21882924 23098642 26398448 29177232 29698254 32824386 34647963 37513584 39597672 43765848 44547381 46197284 59396508 65648772 69295926 79195344 87531696 89094762 92394568 103943889 118793016 131297544 138591852 178189524 184789136 207887778 237586032 262595088 277183704 311831667 356379048 415775556 554367408 623663334 712758096 831551112 1247326668 1663102224 2494653336 4989306672