Search a number
-
+
542773378560 = 2935760716633
BaseRepresentation
bin1111110010111111101…
…00000111111000000000
31220212222210212110220110
413321133310013320000
532343044441103220
61053202513111320
754133300411050
oct7713764077000
91825883773813
10542773378560
1119a209470936
1289239858540
133c24c96932a
141c3adc85560
15e1bad46be0
hex7e5fd07e00

542773378560 has 320 divisors, whose sum is σ = 1986447716352. Its totient is φ = 123850653696.

The previous prime is 542773378559. The next prime is 542773378619. The reversal of 542773378560 is 65873377245.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 542773378560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32624004 + ... + 32640636.

Almost surely, 2542773378560 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 542773378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993223858176).

542773378560 is an abundant number, since it is smaller than the sum of its proper divisors (1443674337792).

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

542773378560 is a wasteful number, since it uses less digits than its factorization.

542773378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17273 (or 17257 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 57.

The spelling of 542773378560 in words is "five hundred forty-two billion, seven hundred seventy-three million, three hundred seventy-eight thousand, five hundred sixty".