Search a number
-
+
218483534070 = 232523557189493
BaseRepresentation
bin1100101101111010100…
…0100010100011110110
3202212221111022111120100
43023132220202203312
512034423241042240
6244211524214530
721533140253304
oct3133650424366
9685844274510
10218483534070
118472729399a
123641583a446
13177ab78ab99
14a808c19274
155a3aee1e30
hex32dea228f6

218483534070 has 96 divisors (see below), whose sum is σ = 593822653632. Its totient is φ = 55628787456.

The previous prime is 218483534053. The next prime is 218483534099. The reversal of 218483534070 is 70435384812.

218483534070 is a `hidden beast` number, since 2 + 1 + 8 + 48 + 3 + 534 + 0 + 70 = 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 47 ways as a sum of consecutive naturals, for example, 1058244 + ... + 1247736.

It is an arithmetic number, because the mean of its divisors is an integer number (6185652642).

Almost surely, 2218483534070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218483534070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296911326816).

218483534070 is an abundant number, since it is smaller than the sum of its proper divisors (375339119562).

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

218483534070 is a wasteful number, since it uses less digits than its factorization.

218483534070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190086 (or 190083 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 218483534070 in words is "two hundred eighteen billion, four hundred eighty-three million, five hundred thirty-four thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 557 690 1035 1114 1671 2070 2785 3342 5013 5570 8355 10026 12811 16710 25065 25622 38433 50130 64055 76866 115299 128110 189493 192165 230598 378986 384330 568479 576495 947465 1136958 1152990 1705437 1894930 2842395 3410874 4358339 5684790 8527185 8716678 13075017 17054370 21791695 26150034 39225051 43583390 65375085 78450102 105547601 130750170 196125255 211095202 316642803 392250510 527738005 633285606 949928409 1055476010 1583214015 1899856818 2427594823 3166428030 4749642045 4855189646 7282784469 9499284090 12137974115 14565568938 21848353407 24275948230 36413922345 43696706814 72827844690 109241767035 218483534070