Search a number
-
+
55145567232 = 2103471737151
BaseRepresentation
bin110011010110111011…
…101001010000000000
312021100012010001220000
4303112323221100000
51400414231122412
641200012520000
73661362405330
oct632673512000
9167305101800
1055145567232
1121429264958
12a830180000
13527ab07972
142951c850c0
15167b4a24dc
hexcd6ee9400

55145567232 has 880 divisors, whose sum is σ = 206012176128. Its totient is φ = 14332723200.

The previous prime is 55145567219. The next prime is 55145567287. The reversal of 55145567232 is 23276554155.

It is a happy number.

55145567232 is a `hidden beast` number, since 5 + 51 + 4 + 5 + 567 + 2 + 32 = 666.

It is a super-3 number, since 3×551455672323 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 365202357 + ... + 365202507.

Almost surely, 255145567232 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 55145567232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103006088064).

55145567232 is an abundant number, since it is smaller than the sum of its proper divisors (150866608896).

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

55145567232 is a wasteful number, since it uses less digits than its factorization.

55145567232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 217 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The spelling of 55145567232 in words is "fifty-five billion, one hundred forty-five million, five hundred sixty-seven thousand, two hundred thirty-two".