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417428428503 = 33741223411311
BaseRepresentation
bin1100001001100001010…
…11000101011011010111
31110220110022020021022210
412010300223011123113
523314343134203003
6515433003524503
742105160045632
oct6046053053327
91426408207283
10417428428503
11151037513719
1268a97b29733
1330495317928
14162bcb26c19
15acd19ec503
hex6130ac56d7

417428428503 has 32 divisors (see below), whose sum is σ = 588182740992. Its totient is φ = 262975161600.

The previous prime is 417428428499. The next prime is 417428428513. The reversal of 417428428503 is 305824824714.

It is not a de Polignac number, because 417428428503 - 22 = 417428428499 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417428428513) 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 31 ways as a sum of consecutive naturals, for example, 809218 + ... + 1220528.

It is an arithmetic number, because the mean of its divisors is an integer number (18380710656).

Almost surely, 2417428428503 is an apocalyptic number.

417428428503 is a deficient number, since it is larger than the sum of its proper divisors (170754312489).

417428428503 is a wasteful number, since it uses less digits than its factorization.

417428428503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411615.

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 417428428503 in words is "four hundred seventeen billion, four hundred twenty-eight million, four hundred twenty-eight thousand, five hundred three".

Divisors: 1 3 37 41 111 123 223 669 1517 4551 8251 9143 24753 27429 338291 411311 1014873 1233933 15218507 16863751 45655521 50591253 91722353 275167059 623958787 1871876361 3393727061 3760616473 10181181183 11281849419 139142809501 417428428503