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55353345606 = 232137114532293
BaseRepresentation
bin110011100011010100…
…010000011001000110
312021212200002022020100
4303203110100121012
51401330424024411
641232354144530
73666464450226
oct634324203106
9167780068210
1055353345606
112152557a919
12a889882146
1352b1b86550
1429716d0086
15168e846456
hexce3510646

55353345606 has 96 divisors (see below), whose sum is σ = 131124232512. Its totient is φ = 16773039360.

The previous prime is 55353345589. The next prime is 55353345637. The reversal of 55353345606 is 60654335355.

55353345606 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 3 + 34 + 5 + 606 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24138996 + ... + 24141288.

It is an arithmetic number, because the mean of its divisors is an integer number (1365877422).

Almost surely, 255353345606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55353345606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65562116256).

55353345606 is an abundant number, since it is smaller than the sum of its proper divisors (75770886906).

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

55353345606 is a wasteful number, since it uses less digits than its factorization.

55353345606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 2430000, while the sum is 45.

The spelling of 55353345606 in words is "fifty-five billion, three hundred fifty-three million, three hundred forty-five thousand, six hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1453 1846 2293 2769 2906 4359 4586 5538 6879 8307 8718 13077 13758 16614 18889 20637 26154 29809 37778 41274 56667 59618 89427 103163 113334 162803 170001 178854 206326 268281 309489 325606 340002 488409 536562 618978 928467 976818 1341119 1465227 1856934 2116439 2682238 2930454 3331729 4023357 4232878 6349317 6663458 8046714 9995187 12070071 12698634 19047951 19990374 24140142 29985561 38095902 43312477 59971122 86624954 129937431 236552759 259874862 389812293 473105518 709658277 779624586 1419316554 2128974831 3075185867 4257949662 6150371734 9225557601 18451115202 27676672803 55353345606