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55006341390 = 232571113267701
BaseRepresentation
bin110011001110101000…
…100010100100001110
312020222111010122221100
4303032220202210032
51400123110411030
641134120443530
73655052121150
oct631650424416
9166874118840
1055006341390
1121367711480
12a7b16195a6
13525800bb00
14293b5a2ad0
15166e150360
hexccea2290e

55006341390 has 576 divisors, whose sum is σ = 196238495232. Its totient is φ = 10378368000.

The previous prime is 55006341319. The next prime is 55006341391. The reversal of 55006341390 is 9314360055.

55006341390 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 634 + 13 + 9 + 0 = 666.

It is a super-2 number, since 2×550063413902 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55006341391) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78468040 + ... + 78468740.

It is an arithmetic number, because the mean of its divisors is an integer number (340691832).

Almost surely, 255006341390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55006341390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98119247616).

55006341390 is an abundant number, since it is smaller than the sum of its proper divisors (141232153842).

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

55006341390 is a wasteful number, since it uses less digits than its factorization.

55006341390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 55006341390 in words is "fifty-five billion, six million, three hundred forty-one thousand, three hundred ninety".