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51604225101 = 3211131712771847
BaseRepresentation
bin110000000011110110…
…011111110001001101
311221012101110020202100
4300003312133301031
51321141140200401
635412345345313
73504541450602
oct600366376115
9157171406670
1051604225101
111a981270120
12a002198239
134b35224950
1426d78046a9
15152062ab86
hexc03d9fc4d

51604225101 has 96 divisors (see below), whose sum is σ = 92844880128. Its totient is φ = 27135313920.

The previous prime is 51604225037. The next prime is 51604225121. The reversal of 51604225101 is 10152240615.

51604225101 is a `hidden beast` number, since 5 + 1 + 604 + 2 + 2 + 51 + 0 + 1 = 666.

It is not a de Polignac number, because 51604225101 - 26 = 51604225037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51604225121) 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 95 ways as a sum of consecutive naturals, for example, 27938560 + ... + 27940406.

It is an arithmetic number, because the mean of its divisors is an integer number (967134168).

Almost surely, 251604225101 is an apocalyptic number.

51604225101 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

51604225101 is a deficient number, since it is larger than the sum of its proper divisors (41240655027).

51604225101 is a wasteful number, since it uses less digits than its factorization.

51604225101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171 (or 3168 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 51604225101 its reverse (10152240615), we get a palindrome (61756465716).

The spelling of 51604225101 in words is "fifty-one billion, six hundred four million, two hundred twenty-five thousand, one hundred one".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 143 153 187 221 429 561 663 1277 1287 1683 1847 1989 2431 3831 5541 7293 11493 14047 16601 16623 20317 21709 21879 24011 31399 42141 49803 60951 65127 72033 94197 126423 149409 182611 182853 195381 216099 238799 264121 282217 282591 345389 408187 547833 716397 792363 846651 1036167 1224561 1643499 2149191 2358619 2377089 2539953 3104387 3108501 3673683 4490057 7075857 9313161 13470171 21227571 25944809 27939483 30662047 40096523 40410513 77834427 91986141 120289569 233503281 275958423 337282517 360868707 441061753 521254799 1011847551 1323185259 1563764397 3035542653 3969555777 4691293191 5733802789 17201408367 51604225101