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5473689661440 = 2123357112132931
BaseRepresentation
bin100111110100111000101…
…0100111111000000000000
3201101021112211210011021000
41033221301110333000000
51204140104023131230
615350324525532000
71103314063310220
oct117516124770000
921337484704230
105473689661440
11182041912a200
12744a07714000
13309222390b70
1414ccdc5b0080
15975b35edb60
hex4fa7153f000

5473689661440 has 4992 divisors, whose sum is σ = 28111826534400. Its totient is φ = 980995276800.

The previous prime is 5473689661439. The next prime is 5473689661487. The reversal of 5473689661440 is 441669863745.

5473689661440 is a `hidden beast` number, since 5 + 4 + 7 + 3 + 6 + 8 + 9 + 6 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a super-2 number, since 2×54736896614402 (a number of 26 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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 176570634225 + ... + 176570634255.

Almost surely, 25473689661440 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 5473689661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055913267200).

5473689661440 is an abundant number, since it is smaller than the sum of its proper divisors (22638136872960).

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

5473689661440 is a wasteful number, since it uses less digits than its factorization.

5473689661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 5473689661440 in words is "five trillion, four hundred seventy-three billion, six hundred eighty-nine million, six hundred sixty-one thousand, four hundred forty".