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55210429440 = 2103451741191
BaseRepresentation
bin110011011010110011…
…000100110000000000
312021111201011102010000
4303122303010300000
51401032332220230
641210251040000
73663110623065
oct633263046000
9167451142100
1055210429440
1121461936891
12a849a40000
13528b397a7a
14295a72ac6c
151682015b60
hexcdacc4c00

55210429440 has 880 divisors, whose sum is σ = 215713580544. Its totient is φ = 13447987200.

The previous prime is 55210429411. The next prime is 55210429441. The reversal of 55210429440 is 4492401255.

It is a happy number.

55210429440 is a `hidden beast` number, since 5 + 521 + 0 + 4 + 2 + 94 + 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 = 55210429395 and 55210429404.

It is not an unprimeable number, because it can be changed into a prime (55210429441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 289059745 + ... + 289059935.

Almost surely, 255210429440 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 55210429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107856790272).

55210429440 is an abundant number, since it is smaller than the sum of its proper divisors (160503151104).

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

55210429440 is a wasteful number, since it uses less digits than its factorization.

55210429440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 55210429440 in words is "fifty-five billion, two hundred ten million, four hundred twenty-nine thousand, four hundred forty".