Search a number
-
+
82643600484 = 2234159712
BaseRepresentation
bin100110011110111110…
…0010100010001100100
321220022120111220010000
41030331330110101210
52323223230203414
6101544351101300
75653662004434
oct1147574242144
9256276456100
1082643600484
113205a181275
1214025211830
137a40a32363
143dddcca2c4
15223a612b09
hex133df14464

82643600484 has 45 divisors (see below), whose sum is σ = 216060224611. Its totient is φ = 27546141960.

The previous prime is 82643600443. The next prime is 82643600489. The reversal of 82643600484 is 48400634628.

The square root of 82643600484 is 287478.

It is a perfect power (a square), and thus also a powerful number.

82643600484 is a `hidden beast` number, since 82 + 64 + 36 + 0 + 0 + 484 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82643600489) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5166619 + ... + 5182589.

Almost surely, 282643600484 is an apocalyptic number.

82643600484 is the 287478-th square number.

It is an amenable number.

82643600484 is an abundant number, since it is smaller than the sum of its proper divisors (133416624127).

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

82643600484 is an frugal number, since it uses more digits than its factorization.

82643600484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31958 (or 15976 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 82643600484 in words is "eighty-two billion, six hundred forty-three million, six hundred thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 15971 31942 47913 63884 95826 143739 191652 287478 431217 574956 862434 1293651 1724868 2587302 5174604 255072841 510145682 765218523 1020291364 1530437046 2295655569 3060874092 4591311138 6886966707 9182622276 13773933414 20660900121 27547866828 41321800242 82643600484