Search a number
-
+
420737058687 = 31179283151163
BaseRepresentation
bin1100001111101011110…
…00100000011101111111
31111012222220000002200110
412013311320200131333
523343132141334222
6521141155201103
742253153664031
oct6076570403577
91435886002613
10420737058687
11152485112530
126965bba6193
13308a192c17a
141651430bc51
15ae2720730c
hex61f5e2077f

420737058687 has 96 divisors (see below), whose sum is σ = 635321788416. Its totient is φ = 245568024000.

The previous prime is 420737058671. The next prime is 420737058727. The reversal of 420737058687 is 786850737024.

It is a happy number.

It is not a de Polignac number, because 420737058687 - 24 = 420737058671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420737058607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2581208868 + ... + 2581209030.

It is an arithmetic number, because the mean of its divisors is an integer number (6617935296).

Almost surely, 2420737058687 is an apocalyptic number.

420737058687 is a deficient number, since it is larger than the sum of its proper divisors (214584729729).

420737058687 is a wasteful number, since it uses less digits than its factorization.

420737058687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 420737058687 in words is "four hundred twenty billion, seven hundred thirty-seven million, fifty-eight thousand, six hundred eighty-seven".

Divisors: 1 3 11 33 79 83 151 163 237 249 453 489 869 913 1661 1793 2607 2739 4983 5379 6241 6557 11929 12533 12877 13529 18723 19671 24613 35787 37599 38631 40587 68651 72127 73839 131219 137863 141647 148819 205953 216381 270743 393657 413589 424941 446457 518003 812229 942391 990107 1017283 1068791 1554009 1944427 2042879 2827173 2970321 3051849 3206373 5698033 5833281 6128637 10366301 10891177 11190113 11756701 17094099 21388697 22471669 31098903 32673531 33570339 35270103 64166091 67415007 78218453 84434489 153609733 161387441 234655359 253303467 460829199 484162323 860402983 928779379 1689707063 1775261851 2581208949 2786338137 5069121189 5325785553 12749607839 38248823517 140245686229 420737058687