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4986139680 = 25345384733
BaseRepresentation
bin1001010010011001…
…00111010000100000
3110212111022010210000
410221030213100200
540202422432210
62142434140000
7234363326244
oct45114472040
913774263700
104986139680
1121296005a5
12b71a21600
13616017c12
143542d4424
151e2b19ac0
hex129327420

4986139680 has 120 divisors (see below), whose sum is σ = 17596963692. Its totient is φ = 1329633792.

The previous prime is 4986139667. The next prime is 4986139687. The reversal of 4986139680 is 869316894.

4986139680 is a `hidden beast` number, since 498 + 61 + 3 + 96 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4713097104 + 273042576 = 68652^2 + 16524^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (4986139687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179407 + ... + 205326.

Almost surely, 24986139680 is an apocalyptic number.

4986139680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4986139680 is an abundant number, since it is smaller than the sum of its proper divisors (12610824012).

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

4986139680 is a wasteful number, since it uses less digits than its factorization.

4986139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384760 (or 384743 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 4986139680 is about 70612.6028411359. The cubic root of 4986139680 is about 1708.3944301660.

The spelling of 4986139680 in words is "four billion, nine hundred eighty-six million, one hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 12960 384733 769466 1154199 1538932 1923665 2308398 3077864 3462597 3847330 4616796 5770995 6155728 6925194 7694660 9233592 10387791 11541990 12311456 13850388 15389320 17312985 18467184 20775582 23083980 27700776 30778640 31163373 34625970 36934368 41551164 46167960 51938955 55401552 61557280 62326746 69251940 83102328 92335920 103877910 110803104 124653492 138503880 155816865 166204656 184671840 207755820 249306984 277007760 311633730 332409312 415511640 498613968 554015520 623267460 831023280 997227936 1246534920 1662046560 2493069840 4986139680