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61354763323 = 734316132579
BaseRepresentation
bin111001001001000001…
…110110010000111011
312212100220210220122121
4321021001312100323
52001123304411243
644104101302111
74301266612000
oct711101662073
9185326726577
1061354763323
1124025189877
12ba83704937
135a2a32a6a9
142d8078b8a7
1518e165e1ed
hexe4907643b

61354763323 has 32 divisors (see below), whose sum is σ = 73288512000. Its totient is φ = 51315028128.

The previous prime is 61354763317. The next prime is 61354763357. The reversal of 61354763323 is 32336745316.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-61354763323 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 61354763323.

It is not an unprimeable number, because it can be changed into a prime (61354764323) 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 31 ways as a sum of consecutive naturals, for example, 23788848 + ... + 23791426.

It is an arithmetic number, because the mean of its divisors is an integer number (2290266000).

Almost surely, 261354763323 is an apocalyptic number.

61354763323 is a deficient number, since it is larger than the sum of its proper divisors (11933748677).

61354763323 is a wasteful number, since it uses less digits than its factorization.

61354763323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4242 counting only the distinct ones).

The product of its digits is 816480, while the sum is 43.

The spelling of 61354763323 in words is "sixty-one billion, three hundred fifty-four million, seven hundred sixty-three thousand, three hundred twenty-three".

Divisors: 1 7 43 49 301 343 1613 2107 2579 11291 14749 18053 69359 79037 110897 126371 485513 553259 776279 884597 3398591 4159927 5433953 23790137 29119489 38037671 178876861 203836423 1252138027 1426854961 8764966189 61354763323