Search a number
-
+
55787213160 = 23335738319267
BaseRepresentation
bin110011111101001011…
…010101000101101000
312022222220111001122000
4303331023111011220
51403223011310120
641343413331000
74013313326220
oct637513250550
9168886431560
1055787213160
1121728477a48
12a98b036a60
135350a25303
1429b318d080
1516b7999990
hexcfd2d5168

55787213160 has 256 divisors, whose sum is σ = 213088665600. Its totient is φ = 12717409536.

The previous prime is 55787213137. The next prime is 55787213177. The reversal of 55787213160 is 6131278755.

It is a happy number.

55787213160 is a `hidden beast` number, since 5 + 578 + 7 + 2 + 13 + 1 + 60 = 666.

It is a super-2 number, since 2×557872131602 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2885847 + ... + 2905113.

It is an arithmetic number, because the mean of its divisors is an integer number (832377600).

Almost surely, 255787213160 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 55787213160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106544332800).

55787213160 is an abundant number, since it is smaller than the sum of its proper divisors (157301452440).

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

55787213160 is a wasteful number, since it uses less digits than its factorization.

55787213160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19677 (or 19667 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 55787213160 in words is "fifty-five billion, seven hundred eighty-seven million, two hundred thirteen thousand, one hundred sixty".