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498052631961 = 321933117235107
BaseRepresentation
bin1110011111101100100…
…00000000110110011001
31202121120010220011111100
413033312100000312121
531130002433210321
61020445140222013
750661131343453
oct7176620006631
91677503804440
10498052631961
1118224a7aa025
128063899a909
1337c73870ab1
141a16a7492d3
15ce4ebba326
hex73f6400d99

498052631961 has 48 divisors (see below), whose sum is σ = 760150493440. Its totient is φ = 313365840480.

The previous prime is 498052631959. The next prime is 498052631983. The reversal of 498052631961 is 169136250894.

498052631961 is a `hidden beast` number, since 4 + 9 + 80 + 526 + 31 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 498052631961 - 21 = 498052631959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 498052631898 and 498052631907.

It is not an unprimeable number, because it can be changed into a prime (498052633961) 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 47 ways as a sum of consecutive naturals, for example, 97520970 + ... + 97526076.

Almost surely, 2498052631961 is an apocalyptic number.

It is an amenable number.

498052631961 is a deficient number, since it is larger than the sum of its proper divisors (262097861479).

498052631961 is a wasteful number, since it uses less digits than its factorization.

498052631961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7183 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 498052631961 in words is "four hundred ninety-eight billion, fifty-two million, six hundred thirty-one thousand, nine hundred sixty-one".

Divisors: 1 3 9 19 57 171 331 993 1723 2979 5107 5169 6289 15321 15507 18867 32737 45963 56601 97033 98211 291099 294633 570313 873297 1690417 1710939 5071251 5132817 8799361 10835947 15213753 26398083 32117923 32507841 79194249 96353769 97523523 167187859 289061307 501563577 1504690731 2912588491 8737765473 26213296419 55339181329 166017543987 498052631961