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490350580434 = 23211131910026389
BaseRepresentation
bin1110010001010110010…
…11000001001011010010
31201212200101010102001200
413020223023001023102
531013214222033214
61013133002412030
750266226106651
oct7105313011322
91655611112050
10490350580434
11179a58134790
127b049501016
1337316c8aa60
1419a3987d198
15cb4d925d09
hex722b2c12d2

490350580434 has 96 divisors (see below), whose sum is σ = 1313858145600. Its totient is φ = 129941988480.

The previous prime is 490350580411. The next prime is 490350580439. The reversal of 490350580434 is 434085053094.

490350580434 is a `hidden beast` number, since 4 + 9 + 0 + 35 + 0 + 580 + 4 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 490350580434.

It is not an unprimeable number, because it can be changed into a prime (490350580439) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4964289 + ... + 5062100.

It is an arithmetic number, because the mean of its divisors is an integer number (13686022350).

Almost surely, 2490350580434 is an apocalyptic number.

490350580434 is an abundant number, since it is smaller than the sum of its proper divisors (823507565166).

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

490350580434 is a wasteful number, since it uses less digits than its factorization.

490350580434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026440 (or 10026437 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 490350580434 in words is "four hundred ninety billion, three hundred fifty million, five hundred eighty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 234 247 286 342 418 429 494 627 741 858 1254 1287 1482 1881 2223 2574 2717 3762 4446 5434 8151 16302 24453 48906 10026389 20052778 30079167 60158334 90237501 110290279 130343057 180475002 190501391 220580558 260686114 330870837 381002782 391029171 571504173 661741674 782058342 992612511 1143008346 1173087513 1433773627 1714512519 1985225022 2095515301 2346175026 2476518083 2867547254 3429025038 4191030602 4301320881 4953036166 6286545903 7429554249 8602641762 12573091806 12903962643 14859108498 18859637709 22288662747 25807925286 27241698913 37719275418 44577325494 54483397826 81725096739 163450193478 245175290217 490350580434