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55771382160 = 243251324412
BaseRepresentation
bin110011111100001110…
…111100000110010000
312022221210200202120200
4303330032330012100
51403204433212120
641342050135200
74013031632544
oct637416740620
9168853622520
1055771382160
112171a54497a
12a985881500
13534a671660
1429b102ba24
1516b63bde90
hexcfc3bc190

55771382160 has 180 divisors, whose sum is σ = 201789165396. Its totient is φ = 13722716160.

The previous prime is 55771382159. The next prime is 55771382179. The reversal of 55771382160 is 6128317755.

It is a happy number.

55771382160 is a `hidden beast` number, since 5 + 577 + 13 + 8 + 2 + 1 + 60 = 666.

55771382160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 25105768704 + 30665613456 = 158448^2 + 175116^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×557713821602 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22846540 + ... + 22848980.

Almost surely, 255771382160 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 55771382160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100894582698).

55771382160 is an abundant number, since it is smaller than the sum of its proper divisors (146017783236).

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

55771382160 is a wasteful number, since it uses less digits than its factorization.

55771382160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 2464 counting only the distinct ones).

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

The spelling of 55771382160 in words is "fifty-five billion, seven hundred seventy-one million, three hundred eighty-two thousand, one hundred sixty".