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5114649800 = 23521323892
BaseRepresentation
bin1001100001101101…
…10101110011001000
3111012110010010112002
410300312311303020
540433322243200
62203304410132
7240513543311
oct46066656310
914173103462
105114649800
1121950a5107
12ba8a76948
13636831500
143673c7608
151ee051bd5
hex130db5cc8

5114649800 has 108 divisors (see below), whose sum is σ = 12909847545. Its totient is φ = 1883631360.

The previous prime is 5114649781. The next prime is 5114649809. The reversal of 5114649800 is 89464115.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 2685934276 + 2428715524 = 51826^2 + 49282^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=50570.

It is not an unprimeable number, because it can be changed into a prime (5114649809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13148006 + ... + 13148394.

Almost surely, 25114649800 is an apocalyptic number.

5114649800 is a gapful number since it is divisible by the number (50) 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 5114649800

5114649800 is an abundant number, since it is smaller than the sum of its proper divisors (7795197745).

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

5114649800 is a wasteful number, since it uses less digits than its factorization.

5114649800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 5114649800 is about 71516.7798492074. The cubic root of 5114649800 is about 1722.9471960995.

The spelling of 5114649800 in words is "five billion, one hundred fourteen million, six hundred forty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 389 520 650 676 778 845 1300 1352 1556 1690 1945 2600 3112 3380 3890 4225 5057 6760 7780 8450 9725 10114 15560 16900 19450 20228 25285 33800 38900 40456 50570 65741 77800 101140 126425 131482 151321 202280 252850 262964 302642 328705 505700 525928 605284 657410 756605 1011400 1210568 1314820 1513210 1643525 1967173 2629640 3026420 3287050 3783025 3934346 6052840 6574100 7566050 7868692 9835865 13148200 15132100 15737384 19671730 25573249 30264200 39343460 49179325 51146498 78686920 98358650 102292996 127866245 196717300 204585992 255732490 393434600 511464980 639331225 1022929960 1278662450 2557324900 5114649800