Search a number
-
+
4680055500 = 223534372559
BaseRepresentation
bin1000101101111001…
…11111101011001100
3110002011100110012220
410112330333223030
534041043234000
62052221455340
7223655546451
oct42674775314
913064313186
104680055500
111a91850a6a
12aa7411550
13597799a13
143257b9828
151c5d081a0
hex116f3facc

4680055500 has 96 divisors (see below), whose sum is σ = 13945451520. Its totient is φ = 1218974400.

The previous prime is 4680055463. The next prime is 4680055507. The reversal of 4680055500 is 55500864.

It is not an unprimeable number, because it can be changed into a prime (4680055507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28221 + ... + 100779.

It is an arithmetic number, because the mean of its divisors is an integer number (145265120).

Almost surely, 24680055500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4680055500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972725760).

4680055500 is an abundant number, since it is smaller than the sum of its proper divisors (9265396020).

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

4680055500 is a wasteful number, since it uses less digits than its factorization.

4680055500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72624 (or 72612 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 4680055500 is about 68410.9311440796. The cubic root of 4680055500 is about 1672.6959335743.

The spelling of 4680055500 in words is "four billion, six hundred eighty million, fifty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 125 129 150 172 215 250 258 300 375 430 500 516 645 750 860 1075 1290 1500 2150 2580 3225 4300 5375 6450 10750 12900 16125 21500 32250 64500 72559 145118 217677 290236 362795 435354 725590 870708 1088385 1451180 1813975 2176770 3120037 3627950 4353540 5441925 6240074 7255900 9069875 9360111 10883850 12480148 15600185 18139750 18720222 21767700 27209625 31200370 36279500 37440444 46800555 54419250 62400740 78000925 93601110 108838500 156001850 187202220 234002775 312003700 390004625 468005550 780009250 936011100 1170013875 1560018500 2340027750 4680055500