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55774041120 = 25325719728087
BaseRepresentation
bin110011111100011001…
…000101010000100000
312022221222200211222200
4303330121011100200
51403211123303440
641342223133200
74013063345610
oct637431052040
9168858624880
1055774041120
1121720aa0666
12a986744200
13534b0929c5
1429b1520a40
1516b6746c30
hexcfc645420

55774041120 has 288 divisors, whose sum is σ = 218630700288. Its totient is φ = 12683188224.

The previous prime is 55774041083. The next prime is 55774041139. The reversal of 55774041120 is 2114047755.

55774041120 is a `hidden beast` number, since 5 + 577 + 40 + 41 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×557740411202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1971717 + ... + 1999803.

It is an arithmetic number, because the mean of its divisors is an integer number (759134376).

Almost surely, 255774041120 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 55774041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109315350144).

55774041120 is an abundant number, since it is smaller than the sum of its proper divisors (162856659168).

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

55774041120 is a wasteful number, since it uses less digits than its factorization.

55774041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28312 (or 28301 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 55774041120 its reverse (2114047755), we get a palindrome (57888088875).

The spelling of 55774041120 in words is "fifty-five billion, seven hundred seventy-four million, forty-one thousand, one hundred twenty".