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499741040968 = 231340131197409
BaseRepresentation
bin1110100010110101110…
…00110010000101001000
31202202220210221020020021
413101122320302011020
531141432201302333
61021324452510224
751051022521631
oct7213270620510
91682823836207
10499741040968
11182a36875774
1280a2a31b374
13381825bc590
141a28aa94888
15ceed02e82d
hex745ae32148

499741040968 has 32 divisors (see below), whose sum is σ = 1009344785400. Its totient is φ = 230592043008.

The previous prime is 499741040947. The next prime is 499741040983. The reversal of 499741040968 is 869040147994.

It can be written as a sum of positive squares in 4 ways, for example, as 438029538244 + 61711502724 = 661838^2 + 248418^2 .

It is a super-4 number, since 4×4997410409684 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 181353 + ... + 1016056.

Almost surely, 2499741040968 is an apocalyptic number.

It is an amenable number.

499741040968 is an abundant number, since it is smaller than the sum of its proper divisors (509603744432).

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

499741040968 is a wasteful number, since it uses less digits than its factorization.

499741040968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201441 (or 1201437 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 499741040968 in words is "four hundred ninety-nine billion, seven hundred forty-one million, forty thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 104 4013 8026 16052 32104 52169 104338 208676 417352 1197409 2394818 4789636 9579272 15566317 31132634 62265268 124530536 4805202317 9610404634 19220809268 38441618536 62467630121 124935260242 249870520484 499741040968