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55442193408 = 21032767101127
BaseRepresentation
bin110011101000100111…
…001011110000000000
312022002212021020111200
4303220213023300000
51402021200142113
641245250341200
74001623603560
oct635047136000
9168085236450
1055442193408
1121570744558
12a8b358a800
1352c73c3c04
14297d41ada0
151697546873
hexce89cbc00

55442193408 has 528 divisors, whose sum is σ = 189003669504. Its totient is φ = 15328051200.

The previous prime is 55442193407. The next prime is 55442193419. The reversal of 55442193408 is 80439124455.

55442193408 is a `hidden beast` number, since 5 + 54 + 4 + 2 + 193 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55442193407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436552641 + ... + 436552767.

Almost surely, 255442193408 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 55442193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94501834752).

55442193408 is an abundant number, since it is smaller than the sum of its proper divisors (133561476096).

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

55442193408 is a wasteful number, since it uses less digits than its factorization.

55442193408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 55442193408 in words is "fifty-five billion, four hundred forty-two million, one hundred ninety-three thousand, four hundred eight".