Search a number
-
+
87206506002 = 232711241261077
BaseRepresentation
bin101000100110111101…
…0011010111000010010
322100002120102111202200
41101031322122320102
52412044331143002
6104021230024030
76205026033120
oct1211572327022
9270076374680
1087206506002
1133a90887770
1214a99348016
1382ba162455
144313ccc910
152405ec9b1c
hex144de9ae12

87206506002 has 96 divisors (see below), whose sum is σ = 236549199744. Its totient is φ = 22556966400.

The previous prime is 87206505977. The next prime is 87206506003. The reversal of 87206506002 is 20060560278.

It is not an unprimeable number, because it can be changed into a prime (87206506003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203488 + ... + 464564.

It is an arithmetic number, because the mean of its divisors is an integer number (2464054164).

Almost surely, 287206506002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87206506002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118274599872).

87206506002 is an abundant number, since it is smaller than the sum of its proper divisors (149342693742).

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

87206506002 is a wasteful number, since it uses less digits than its factorization.

87206506002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261344 (or 261341 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 87206506002 in words is "eighty-seven billion, two hundred six million, five hundred six thousand, two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 241 462 482 693 723 1386 1446 1687 2169 2651 3374 4338 5061 5302 7953 10122 15183 15906 18557 23859 30366 37114 47718 55671 111342 167013 261077 334026 522154 783231 1566462 1827539 2349693 2871847 3655078 4699386 5482617 5743694 8615541 10965234 16447851 17231082 20102929 25846623 32895702 40205858 51693246 60308787 62919557 120617574 125839114 180926361 188758671 361852722 377517342 440436899 566276013 692115127 880873798 1132552026 1321310697 1384230254 2076345381 2642621394 3963932091 4152690762 4844805889 6229036143 7927864182 9689611778 12458072286 14534417667 29068835334 43603253001 87206506002