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55420770240 = 2634511194377
BaseRepresentation
bin110011100111010101…
…011101011111000000
312022001100221211110000
4303213111131133000
51402000204121430
641243203240000
74001243526423
oct634725353700
9168040854400
1055420770240
112155a641a60
12a8a8379000
1352c2b32a94
14297a6419ba
151695713e60
hexce755d7c0

55420770240 has 280 divisors, whose sum is σ = 215064484272. Its totient is φ = 13435269120.

The previous prime is 55420770227. The next prime is 55420770241. The reversal of 55420770240 is 4207702455.

It is a happy number.

55420770240 is a `hidden beast` number, since 5 + 542 + 0 + 7 + 70 + 2 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55420770195 and 55420770204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55420770241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187932 + ... + 382308.

Almost surely, 255420770240 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 55420770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107532242136).

55420770240 is an abundant number, since it is smaller than the sum of its proper divisors (159643714032).

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

55420770240 is a wasteful number, since it uses less digits than its factorization.

55420770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194417 (or 194398 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

It can be divided in two parts, 5 and 5420770240, that added together give a palindrome (5420770245).

The spelling of 55420770240 in words is "fifty-five billion, four hundred twenty million, seven hundred seventy thousand, two hundred forty".