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48319740693 = 327219231571597
BaseRepresentation
bin101101000000000101…
…001011101100010101
311121201111010011011200
4231000011023230111
51242424323200233
634110415423113
73330260006400
oct550005135425
9147644104150
1048319740693
11195462633a4
129446224a99
134730915853
1424a5506d37
1513cc0e0313
hexb4014bb15

48319740693 has 144 divisors (see below), whose sum is σ = 89803509120. Its totient is φ = 24845812992.

The previous prime is 48319740649. The next prime is 48319740697. The reversal of 48319740693 is 39604791384.

It is a happy number.

48319740693 is a `hidden beast` number, since 48 + 3 + 197 + 406 + 9 + 3 = 666.

It is not a de Polignac number, because 48319740693 - 28 = 48319740437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48319740697) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30255771 + ... + 30257367.

It is an arithmetic number, because the mean of its divisors is an integer number (623635480).

Almost surely, 248319740693 is an apocalyptic number.

It is an amenable number.

48319740693 is a deficient number, since it is larger than the sum of its proper divisors (41483768427).

48319740693 is a wasteful number, since it uses less digits than its factorization.

48319740693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 48319740693 in words is "forty-eight billion, three hundred nineteen million, seven hundred forty thousand, six hundred ninety-three".

Divisors: 1 3 7 9 19 21 23 49 57 63 69 133 147 157 161 171 207 399 437 441 471 483 931 1099 1127 1197 1311 1413 1449 1597 2793 2983 3059 3297 3381 3611 3933 4791 7693 8379 8949 9177 9891 10143 10833 11179 14373 20881 21413 23079 25277 26847 27531 30343 32499 33537 36731 62643 64239 68609 69237 75831 78253 91029 100611 110193 146167 176939 187929 192717 205827 212401 227493 234759 250729 257117 273087 330579 438501 480263 530817 617481 637203 697889 704277 752187 771351 1315503 1440789 1486807 1592451 1755103 1799819 1911609 2093667 2256561 2314053 3361841 4322367 4460421 4763851 4885223 5265309 5399457 5766767 6281001 10085523 12285721 13381263 14291553 14655669 15795927 16198371 17300301 30256569 33346957 34196561 36857163 40367369 42874659 43967007 51900903 100040871 102589683 109568573 110571489 121102107 233428699 282571583 300122613 307769049 328705719 363306321 700286097 766980011 847714749 986117157 2100858291 2300940033 2543144247 5368860077 6902820099 16106580231 48319740693