Search a number
-
+
55627263900 = 2232521343110569
BaseRepresentation
bin110011110011101001…
…001010111110011100
312022120202111210111100
4303303221022332130
51402411034421100
641315501153100
74006331640645
oct636351127634
9168522453440
1055627263900
112165615a77a
12a94555b790
135326851990
142999c346cc
1516a8902400
hexcf3a4af9c

55627263900 has 216 divisors, whose sum is σ = 192141469520. Its totient is φ = 13374305280.

The previous prime is 55627263827. The next prime is 55627263907. The reversal of 55627263900 is 936272655.

55627263900 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 7 + 2 + 639 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55627263907) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447816 + ... + 558384.

Almost surely, 255627263900 is an apocalyptic number.

55627263900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55627263900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96070734760).

55627263900 is an abundant number, since it is smaller than the sum of its proper divisors (136514205620).

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

55627263900 is a wasteful number, since it uses less digits than its factorization.

55627263900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110645 (or 110635 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 55627263900 in words is "fifty-five billion, six hundred twenty-seven million, two hundred sixty-three thousand, nine hundred".