Search a number
-
+
419000268608 = 26173710408393
BaseRepresentation
bin1100001100011100101…
…11001011011101000000
31111001111211221000120222
412012032113023131000
523331103032043413
6520252553522212
742162134343065
oct6061627133500
91431454830528
10419000268608
11151773801429
1269256413368
1330685b7112c
14163cb7aac6c
15ad749d7b08
hex618e5cb740

419000268608 has 56 divisors (see below), whose sum is σ = 904156369992. Its totient is φ = 191847481344.

The previous prime is 419000268601. The next prime is 419000268637. The reversal of 419000268608 is 806862000914.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 171919695424 + 247080573184 = 414632^2 + 497072^2 .

It is a super-2 number, since 2×4190002686082 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419000268601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5163941 + ... + 5244452.

Almost surely, 2419000268608 is an apocalyptic number.

It is an amenable number.

419000268608 is an abundant number, since it is smaller than the sum of its proper divisors (485156101384).

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

419000268608 is a wasteful number, since it uses less digits than its factorization.

419000268608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10408459 (or 10408449 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 419000268608 in words is "four hundred nineteen billion, two hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 136 148 272 296 544 592 629 1088 1184 1258 2368 2516 5032 10064 20128 40256 10408393 20816786 41633572 83267144 166534288 176942681 333068576 353885362 385110541 666137152 707770724 770221082 1415541448 1540442164 2831082896 3080884328 5662165792 6161768656 6546879197 11324331584 12323537312 13093758394 24647074624 26187516788 52375033576 104750067152 209500134304 419000268608