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30849493248 = 28337637597
BaseRepresentation
bin11100101110110001…
…011110100100000000
32221121221202122001000
4130232301132210000
51001134432240443
622101055412000
72141323236360
oct345661364400
987557678030
1030849493248
11120a0809972
125b8b524000
132ba8386822
1416c91b89a0
15c084ca8d3
hex72ec5e900

30849493248 has 144 divisors (see below), whose sum is σ = 104260024960. Its totient is φ = 8814127104.

The previous prime is 30849493189. The next prime is 30849493249. The reversal of 30849493248 is 84239494803.

30849493248 is a `hidden beast` number, since 30 + 84 + 9 + 493 + 2 + 48 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 30849493194 and 30849493203.

It is not an unprimeable number, because it can be changed into a prime (30849493249) 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, 270415 + ... + 367182.

Almost surely, 230849493248 is an apocalyptic number.

It is an amenable number.

30849493248 is an abundant number, since it is smaller than the sum of its proper divisors (73410531712).

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

30849493248 is an equidigital number, since it uses as much as digits as its factorization.

30849493248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637629 (or 637609 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 30849493248 in words is "thirty billion, eight hundred forty-nine million, four hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 637597 1275194 1912791 2550388 3825582 4463179 5100776 5738373 7651164 8926358 10201552 11476746 13389537 15302328 17215119 17852716 20403104 22953492 26779074 30604656 34430238 35705432 40168611 40806208 45906984 53558148 61209312 68860476 71410864 80337222 81612416 91813968 107116296 120505833 122418624 137720952 142821728 160674444 163224832 183627936 214232592 241011666 244837248 275441904 285643456 321348888 367255872 428465184 482023332 489674496 550883808 571286912 642697776 734511744 856930368 964046664 1101767616 1142573824 1285395552 1469023488 1713860736 1928093328 2203535232 2570791104 3427721472 3856186656 4407070464 5141582208 7712373312 10283164416 15424746624 30849493248