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497340890176 = 2613267812
BaseRepresentation
bin1110011110010111101…
…00111011110001000000
31202112201112121221022111
413033023310323301000
531122023231441201
61020250353145104
750634366546514
oct7171364736100
91675645557274
10497340890176
11181a14a6a979
128047a55b194
1337b8c280100
141a0dddd6144
15ce0c478b51
hex73cbd3bc40

497340890176 has 63 divisors (see below), whose sum is σ = 1068824376063. Its totient is φ = 229508098560.

The previous prime is 497340890077. The next prime is 497340890191. The reversal of 497340890176 is 671098043794.

The square root of 497340890176 is 705224.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 96621505600 + 400719384576 = 310840^2 + 633024^2 .

It is a super-2 number, since 2×4973408901762 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 497340890176.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73339906 + ... + 73346686.

Almost surely, 2497340890176 is an apocalyptic number.

497340890176 is the 705224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 497340890176

497340890176 is an abundant number, since it is smaller than the sum of its proper divisors (571483485887).

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

497340890176 is an frugal number, since it uses more digits than its factorization.

497340890176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13600 (or 6796 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 497340890176 in words is "four hundred ninety-seven billion, three hundred forty million, eight hundred ninety thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 6781 10816 13562 27124 54248 88153 108496 176306 216992 352612 433984 705224 1145989 1410448 2291978 2820896 4583956 5641792 9167912 18335824 36671648 45981961 73343296 91963922 183927844 367855688 597765493 735711376 1195530986 1471422752 2391061972 2942845504 4782123944 7770951409 9564247888 15541902818 19128495776 31083805636 38256991552 62167611272 124335222544 248670445088 497340890176