Search a number
-
+
21724642712 = 2319211677371
BaseRepresentation
bin10100001110111000…
…111011110110011000
32002002000202012021202
4110032320323312120
5323443002031322
613551414253332
71366233262523
oct241670736630
962060665252
1021724642712
119238aa3683
124263657248
132082aa1896
1410a1383bba
1587238b292
hex50ee3bd98

21724642712 has 32 divisors (see below), whose sum is σ = 43080859200. Its totient is φ = 10241834400.

The previous prime is 21724642711. The next prime is 21724642729.

21724642712 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21724642711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306614 + ... + 370757.

It is an arithmetic number, because the mean of its divisors is an integer number (1346276850).

Almost surely, 221724642712 is an apocalyptic number.

It is an amenable number.

21724642712 is a deficient number, since it is larger than the sum of its proper divisors (21356216488).

21724642712 is a wasteful number, since it uses less digits than its factorization.

21724642712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677607 (or 677603 counting only the distinct ones).

The product of its digits is 75264, while the sum is 38.

The spelling of 21724642712 in words is "twenty-one billion, seven hundred twenty-four million, six hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 4 8 19 38 76 152 211 422 844 1688 4009 8018 16036 32072 677371 1354742 2709484 5418968 12870049 25740098 51480196 102960392 142925281 285850562 571701124 1143402248 2715580339 5431160678 10862321356 21724642712