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4995544600 = 2352193142407
BaseRepresentation
bin1001010011100000…
…11111011000011000
3110220010222221220101
410221300133120120
540212324411400
62143411505144
7234536266654
oct45160373030
913803887811
104995544600
112133944662
12b74bb81b4
13617c5b967
14355661a64
151e387656a
hex129c1f618

4995544600 has 96 divisors (see below), whose sum is σ = 12620620800. Its totient is φ = 1831939200.

The previous prime is 4995544597. The next prime is 4995544633. The reversal of 4995544600 is 64455994.

It is a super-5 number, since 5×49955446005 (a number of 50 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96597 + ... + 139003.

It is an arithmetic number, because the mean of its divisors is an integer number (131464800).

Almost surely, 24995544600 is an apocalyptic number.

4995544600 is a gapful number since it is divisible by the number (40) 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 4995544600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310310400).

4995544600 is an abundant number, since it is smaller than the sum of its proper divisors (7625076200).

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

4995544600 is a wasteful number, since it uses less digits than its factorization.

4995544600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42473 (or 42464 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The square root of 4995544600 is about 70679.1666617540. The cubic root of 4995544600 is about 1709.4678872841.

The spelling of 4995544600 in words is "four billion, nine hundred ninety-five million, five hundred forty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 19 20 25 31 38 40 50 62 76 95 100 124 152 155 190 200 248 310 380 475 589 620 760 775 950 1178 1240 1550 1900 2356 2945 3100 3800 4712 5890 6200 11780 14725 23560 29450 42407 58900 84814 117800 169628 212035 339256 424070 805733 848140 1060175 1314617 1611466 1696280 2120350 2629234 3222932 4028665 4240700 5258468 6445864 6573085 8057330 8481400 10516936 13146170 16114660 20143325 24977723 26292340 32229320 32865425 40286650 49955446 52584680 65730850 80573300 99910892 124888615 131461700 161146600 199821784 249777230 262923400 499554460 624443075 999108920 1248886150 2497772300 4995544600