Search a number
-
+
5515106100 = 2235273377793
BaseRepresentation
bin1010010001011100…
…11101011100110100
3112020100122102021220
411020232131130310
542243331343400
62311131510340
7253445425350
oct51056353464
915210572256
105515106100
112380151929
12109abb83b0
1369b7a26ba
143a466a460
152242a57a0
hex148b9d734

5515106100 has 144 divisors (see below), whose sum is σ = 18293079168. Its totient is φ = 1256693760.

The previous prime is 5515106071. The next prime is 5515106123. The reversal of 5515106100 is 16015155.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703804 + ... + 711596.

It is an arithmetic number, because the mean of its divisors is an integer number (127035272).

Almost surely, 25515106100 is an apocalyptic number.

5515106100 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 5515106100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9146539584).

5515106100 is an abundant number, since it is smaller than the sum of its proper divisors (12777973068).

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

5515106100 is a wasteful number, since it uses less digits than its factorization.

5515106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8147 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 5515106100 is about 74263.7603410977. The cubic root of 5515106100 is about 1766.7887447780.

The spelling of 5515106100 in words is "five billion, five hundred fifteen million, one hundred six thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 337 350 420 525 674 700 1011 1050 1348 1685 2022 2100 2359 3370 4044 4718 5055 6740 7077 7793 8425 9436 10110 11795 14154 15586 16850 20220 23379 23590 25275 28308 31172 33700 35385 38965 46758 47180 50550 54551 58975 70770 77930 93516 101100 109102 116895 117950 141540 155860 163653 176925 194825 218204 233790 235900 272755 327306 353850 389650 467580 545510 584475 654612 707700 779300 818265 1091020 1168950 1363775 1636530 2337900 2626241 2727550 3273060 4091325 5252482 5455100 7878723 8182650 10504964 13131205 15757446 16365300 18383687 26262410 31514892 36767374 39393615 52524820 55151061 65656025 73534748 78787230 91918435 110302122 131312050 157574460 183836870 196968075 220604244 262624100 275755305 367673740 393936150 459592175 551510610 787872300 919184350 1103021220 1378776525 1838368700 2757553050 5515106100