Search a number
-
+
55593229386240 = 29325721343137643
BaseRepresentation
bin11001010001111110011101…
…01100001000001000000000
321021211122211202000122000200
430220333032230020020000
524241314413210324430
6314123102122245200
714465323022650500
oct1450771654101000
9237748752018020
1055593229386240
1116793a57748887
12629a410056800
13250355a8145c0
14da2a25d49a00
15666192ae6460
hex328fceb08200

55593229386240 has 2880 divisors, whose sum is σ = 248995075545216. Its totient is φ = 11355466235904.

The previous prime is 55593229386229. The next prime is 55593229386241. The reversal of 55593229386240 is 4268392239555.

It is a happy number.

55593229386240 is a `hidden beast` number, since 5 + 5 + 5 + 9 + 3 + 2 + 2 + 9 + 386 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is not an unprimeable number, because it can be changed into a prime (55593229386241) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86459143359 + ... + 86459144001.

Almost surely, 255593229386240 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 55593229386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124497537772608).

55593229386240 is an abundant number, since it is smaller than the sum of its proper divisors (193401846158976).

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

55593229386240 is a wasteful number, since it uses less digits than its factorization.

55593229386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 55593229386240 in words is "fifty-five trillion, five hundred ninety-three billion, two hundred twenty-nine million, three hundred eighty-six thousand, two hundred forty".