Search a number
-
+
352147166672 = 24717127211467
BaseRepresentation
bin1010001111111011001…
…10110101010111010000
31020122221202000120022112
411013331212311113100
521232144133313142
6425435115524452
734304351346260
oct5077546652720
91218852016275
10352147166672
11126387993464
12582b9459728
1327290692052
1413088ab97a0
1592607d6382
hex51fd9b55d0

352147166672 has 120 divisors (see below), whose sum is σ = 832247072064. Its totient is φ = 140911819776.

The previous prime is 352147166669. The next prime is 352147166719. The reversal of 352147166672 is 276661741253.

It is a self number, because there is not a number n which added to its sum of digits gives 352147166672.

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, 30703883 + ... + 30715349.

Almost surely, 2352147166672 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 352147166672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416123536032).

352147166672 is an abundant number, since it is smaller than the sum of its proper divisors (480099905392).

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

352147166672 is a wasteful number, since it uses less digits than its factorization.

352147166672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11753 (or 11620 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 50.

The spelling of 352147166672 in words is "three hundred fifty-two billion, one hundred forty-seven million, one hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 127 136 238 254 272 476 508 889 952 1016 1778 1904 2032 2159 3556 4318 7112 8636 11467 14224 15113 16129 17272 22934 30226 32258 34544 45868 60452 64516 80269 91736 112903 120904 129032 160538 183472 194939 225806 241808 258064 274193 321076 389878 451612 548386 642152 779756 903224 1096772 1284304 1364573 1456309 1559512 1806448 1919351 2193544 2729146 2912618 3119024 3838702 4387088 5458292 5825236 7677404 10194163 10916584 11650472 15354808 20388326 21833168 23300944 24757253 30709616 40776652 49514506 81553304 99029012 163106608 173300771 184951243 198058024 346601542 369902486 396116048 693203084 739804972 1294658701 1386406168 1479609944 2589317402 2772812336 2959219888 3144171131 5178634804 6288342262 10357269608 12576684524 20714539216 22009197917 25153369048 44018395834 50306738096 88036791668 176073583336 352147166672