Search a number
-
+
5099610096 = 243372958151
BaseRepresentation
bin1001011111111010…
…11101111111110000
3111011101211000221000
410233331131333300
540421000010341
62202010202000
7240241653630
oct45775357760
914141730830
105099610096
1121876625a9
12ba3a23300
13633696a89
143653d06c0
151eca808b6
hex12ff5dff0

5099610096 has 160 divisors (see below), whose sum is σ = 17306035200. Its totient is φ = 1406764800.

The previous prime is 5099610073. The next prime is 5099610097. The reversal of 5099610096 is 6900169905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5099610097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58621 + ... + 116771.

It is an arithmetic number, because the mean of its divisors is an integer number (108162720).

Almost surely, 25099610096 is an apocalyptic number.

5099610096 is a gapful number since it is divisible by the number (56) 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 5099610096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8653017600).

5099610096 is an abundant number, since it is smaller than the sum of its proper divisors (12206425104).

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

5099610096 is a wasteful number, since it uses less digits than its factorization.

5099610096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58204 (or 58192 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 5099610096 is about 71411.5543592212. The cubic root of 5099610096 is about 1721.2567541184.

The spelling of 5099610096 in words is "five billion, ninety-nine million, six hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1624 1827 2088 2436 3024 3132 3248 3654 4176 4872 5481 6264 7308 9744 10962 12528 14616 21924 29232 43848 58151 87696 116302 174453 232604 348906 407057 465208 523359 697812 814114 930416 1046718 1221171 1395624 1570077 1628228 1686379 2093436 2442342 2791248 3140154 3256456 3372758 3663513 4186872 4884684 5059137 6280308 6512912 6745516 7327026 8373744 9769368 10118274 10990539 11804653 12560616 13491032 14654052 15177411 19538736 20236548 21981078 23609306 25121232 26982064 29308104 30354822 35413959 40473096 43962156 45532233 47218612 58616208 60709644 70827918 80946192 87924312 91064466 94437224 106241877 121419288 141655836 175848624 182128932 188874448 212483754 242838576 283311672 318725631 364257864 424967508 566623344 637451262 728515728 849935016 1274902524 1699870032 2549805048 5099610096