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423435121736 = 231124110669097
BaseRepresentation
bin1100010100101101011…
…00110011010001001000
31111110221220212220101112
412022112230303101020
523414143342343421
6522305020105452
742410055102044
oct6122654632110
91443856786345
10423435121736
1115363a0a6200
126a093695288
1330c118b8093
14166cc799024
15b03400845b
hex6296b33448

423435121736 has 48 divisors (see below), whose sum is σ = 893963721420. Its totient is φ = 187776089600.

The previous prime is 423435121721. The next prime is 423435121783. The reversal of 423435121736 is 637121534324.

It can be written as a sum of positive squares in 2 ways, for example, as 361381322500 + 62053799236 = 601150^2 + 249106^2 .

It is a super-2 number, since 2×4234351217362 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a junction number, because it is equal to n+sod(n) for n = 423435121693 and 423435121702.

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 11 ways as a sum of consecutive naturals, for example, 5294861 + ... + 5374236.

Almost surely, 2423435121736 is an apocalyptic number.

It is an amenable number.

423435121736 is an abundant number, since it is smaller than the sum of its proper divisors (470528599684).

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

423435121736 is a wasteful number, since it uses less digits than its factorization.

423435121736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10669166 (or 10669151 counting only the distinct ones).

The product of its digits is 362880, while the sum is 41.

The spelling of 423435121736 in words is "four hundred twenty-three billion, four hundred thirty-five million, one hundred twenty-one thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 22 41 44 82 88 121 164 242 328 451 484 902 968 1804 3608 4961 9922 19844 39688 10669097 21338194 42676388 85352776 117360067 234720134 437432977 469440268 874865954 938880536 1290960737 1749731908 2581921474 3499463816 4811762747 5163842948 9623525494 10327685896 19247050988 38494101976 52929390217 105858780434 211717560868 423435121736