Search a number
-
+
168426009252 = 223221122172987
BaseRepresentation
bin1001110011011011111…
…0001111001010100100
3121002201220020202201200
42130312332033022210
510224414024244002
6205212425522500
715111516312564
oct2346676171244
9532656222650
10168426009252
116547a100676
1228785643430
1312b61b29a07
14821a9d2da4
1545ab587b1c
hex2736f8f2a4

168426009252 has 36 divisors (see below), whose sum is σ = 427761284496. Its totient is φ = 55875924720.

The previous prime is 168426009233. The next prime is 168426009289. The reversal of 168426009252 is 252900624861.

168426009252 is a `hidden beast` number, since 16 + 8 + 4 + 2 + 600 + 9 + 25 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1684260092523 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 168426009198 and 168426009207.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11078898 + ... + 11094089.

Almost surely, 2168426009252 is an apocalyptic number.

168426009252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

168426009252 is an abundant number, since it is smaller than the sum of its proper divisors (259335275244).

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

168426009252 is a wasteful number, since it uses less digits than its factorization.

168426009252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22173208 (or 22173203 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 168426009252 in words is "one hundred sixty-eight billion, four hundred twenty-six million, nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 211 422 633 844 1266 1899 2532 3798 7596 22172987 44345974 66518961 88691948 133037922 199556883 266075844 399113766 798227532 4678500257 9357000514 14035500771 18714001028 28071001542 42106502313 56142003084 84213004626 168426009252