Search a number
-
+
5086185660 = 2232530792041
BaseRepresentation
bin1001011110010100…
…10000100010111100
3111010110120000001200
410233022100202330
540404030420120
62200410335500
7240016602423
oct45712204274
914113500050
105086185660
112180023626
12b9b42a590
1363097661a
143636d82ba
151eb7cce90
hex12f2908bc

5086185660 has 72 divisors (see below), whose sum is σ = 15478519056. Its totient is φ = 1351883520.

The previous prime is 5086185653. The next prime is 5086185679. The reversal of 5086185660 is 665816805.

5086185660 is a `hidden beast` number, since 5 + 0 + 86 + 1 + 8 + 566 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9240 + ... + 101280.

Almost surely, 25086185660 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 5086185660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739259528).

5086185660 is an abundant number, since it is smaller than the sum of its proper divisors (10392333396).

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

5086185660 is a wasteful number, since it uses less digits than its factorization.

5086185660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92363 (or 92358 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 5086185660 is about 71317.4989746556. The cubic root of 5086185660 is about 1719.7450564084.

The spelling of 5086185660 in words is "five billion, eighty-six million, one hundred eighty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 6140 9210 11052 13815 18420 27630 55260 92041 184082 276123 368164 460205 552246 828369 920410 1104492 1380615 1656738 1840820 2761230 3313476 4141845 5522460 8283690 16567380 28256587 56513174 84769761 113026348 141282935 169539522 254309283 282565870 339079044 423848805 508618566 565131740 847697610 1017237132 1271546415 1695395220 2543092830 5086185660