Search a number
-
+
48988839690 = 2345753163019
BaseRepresentation
bin101101100111111101…
…100101111100001010
311200110010010220110000
4231213331211330022
51300312120332230
634301040503430
73352663160340
oct554775457412
9150403126400
1048988839690
1119859a1737a
1295b231ab76
134809425b0b
14252a319990
15141ac0bb60
hexb67f65f0a

48988839690 has 160 divisors (see below), whose sum is σ = 153384865920. Its totient is φ = 10986109056.

The previous prime is 48988839671. The next prime is 48988839721. The reversal of 48988839690 is 9693888984.

48988839690 is a `hidden beast` number, since 489 + 8 + 8 + 83 + 9 + 69 + 0 = 666.

It is a super-2 number, since 2×489888396902 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 219001 + ... + 382019.

It is an arithmetic number, because the mean of its divisors is an integer number (958655412).

Almost surely, 248988839690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48988839690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76692432960).

48988839690 is an abundant number, since it is smaller than the sum of its proper divisors (104396026230).

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

48988839690 is a wasteful number, since it uses less digits than its factorization.

48988839690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163098 (or 163089 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 48988839690 in words is "forty-eight billion, nine hundred eighty-eight million, eight hundred thirty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 53 54 63 70 81 90 105 106 126 135 159 162 189 210 265 270 315 318 371 378 405 477 530 567 630 742 795 810 945 954 1113 1134 1431 1590 1855 1890 2226 2385 2835 2862 3339 3710 4293 4770 5565 5670 6678 7155 8586 10017 11130 14310 16695 20034 21465 30051 33390 42930 50085 60102 100170 150255 163019 300510 326038 489057 815095 978114 1141133 1467171 1630190 2282266 2445285 2934342 3423399 4401513 4890570 5705665 6846798 7335855 8640007 8803026 10270197 11411330 13204539 14671710 17116995 17280014 20540394 22007565 25920021 26409078 30810591 34233990 43200035 44015130 51350985 51840042 60480049 61621182 66022695 77760063 86400070 92431773 102701970 120960098 129600105 132045390 154052955 155520126 181440147 184863546 233280189 259200210 302400245 308105910 362880294 388800315 462158865 466560378 544320441 604800490 699840567 777600630 907200735 924317730 1088640882 1166400945 1399681134 1632961323 1814401470 2332801890 2721602205 3265922646 3499202835 4898883969 5443204410 6998405670 8164806615 9797767938 16329613230 24494419845 48988839690