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51031548687168 = 2633764111815573
BaseRepresentation
bin10111001101001101101010…
…10101001111001101000000
320200200120100101000001102000
423212212311111033031000
523142100102430442133
6300311323025424000
713514623230533010
oct1346466525171500
9220616311001360
1051031548687168
11152953a3931665
12588230a49b000
13226233cb9183a
14c85d23a33c40
155d76aae65413
hex2e69b554f340

51031548687168 has 448 divisors, whose sum is σ = 171898927971840. Its totient is φ = 14542759526400.

The previous prime is 51031548687137. The next prime is 51031548687187. The reversal of 51031548687168 is 86178684513015.

It is a happy number.

51031548687168 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 1 + 548 + 6 + 87 + 1 + 6 + 8 = 666.

51031548687168 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×510315486871682 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9156923230 + ... + 9156928802.

Almost surely, 251031548687168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51031548687168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85949463985920).

51031548687168 is an abundant number, since it is smaller than the sum of its proper divisors (120867379284672).

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

51031548687168 is a wasteful number, since it uses less digits than its factorization.

51031548687168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7423 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 51031548687168 in words is "fifty-one trillion, thirty-one billion, five hundred forty-eight million, six hundred eighty-seven thousand, one hundred sixty-eight".