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424462424208 = 2431072772379
BaseRepresentation
bin1100010110100111110…
…11101001100010010000
31111120121111221021110020
412023103323221202100
523423244340033313
6522554554503440
742444401035014
oct6132373514220
91446544837406
10424462424208
11154016a77809
126a31b734b80
1331046694474
1416788db2544
15b0942ce323
hex62d3ee9890

424462424208 has 60 divisors (see below), whose sum is σ = 1106873061840. Its totient is φ = 140164980416.

The previous prime is 424462424201. The next prime is 424462424263. The reversal of 424462424208 is 802424264424.

It is a self number, because there is not a number n which added to its sum of digits gives 424462424208.

It is not an unprimeable number, because it can be changed into a prime (424462424201) 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 11 ways as a sum of consecutive naturals, for example, 163363 + ... + 935741.

It is an arithmetic number, because the mean of its divisors is an integer number (18447884364).

Almost surely, 2424462424208 is an apocalyptic number.

424462424208 is a gapful number since it is divisible by the number (48) 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 424462424208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553436530920).

424462424208 is an abundant number, since it is smaller than the sum of its proper divisors (682410637632).

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

424462424208 is a wasteful number, since it uses less digits than its factorization.

424462424208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772604 (or 772491 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 42.

The spelling of 424462424208 in words is "four hundred twenty-four billion, four hundred sixty-two million, four hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2568 5136 11449 22898 34347 45796 68694 91592 137388 183184 274776 549552 772379 1544758 2317137 3089516 4634274 6179032 9268548 12358064 18537096 37074192 82644553 165289106 247933659 330578212 495867318 661156424 991734636 1322312848 1983469272 3966938544 8842967171 17685934342 26528901513 35371868684 53057803026 70743737368 106115606052 141487474736 212231212104 424462424208