Search a number
-
+
168024887052 = 2231119617310853
BaseRepresentation
bin1001110001111100010…
…0000100111100001100
3121001200221110122111220
42130133010010330030
510223103332341202
6205104540243340
715065545655241
oct2343704047414
9531627418456
10168024887052
1165293739620
1228693240550
1312ac99b46b9
1481bd6195c8
154586251abc
hex271f104f0c

168024887052 has 96 divisors (see below), whose sum is σ = 450324645120. Its totient is φ = 48224551680.

The previous prime is 168024887047. The next prime is 168024887083. The reversal of 168024887052 is 250788420861.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 168024886986 and 168024887004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15476458 + ... + 15487310.

It is an arithmetic number, because the mean of its divisors is an integer number (4690881720).

Almost surely, 2168024887052 is an apocalyptic number.

168024887052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168024887052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225162322560).

168024887052 is an abundant number, since it is smaller than the sum of its proper divisors (282299758068).

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

168024887052 is a wasteful number, since it uses less digits than its factorization.

168024887052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17063 (or 17061 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 168024887052 in words is "one hundred sixty-eight billion, twenty-four million, eight hundred eighty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 6173 10853 12346 18519 21706 24692 32559 37038 43412 65118 67903 74076 117287 119383 130236 135806 203709 206207 234574 238766 271612 351861 358149 407418 412414 469148 477532 618621 703722 716298 814836 824828 1237242 1290157 1407444 1432596 2268277 2474484 2580314 3870471 4536554 5160628 6804831 7740942 9073108 13609662 15481884 27219324 66995569 133991138 200986707 267982276 401973414 736951259 803946828 1272915811 1473902518 2210853777 2545831622 2947805036 3818747433 4421707554 5091663244 7637494866 8843415108 14002073921 15274989732 28004147842 42006221763 56008295684 84012443526 168024887052