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55306126848 = 293731732273
BaseRepresentation
bin110011100000100000…
…001000011000000000
312021202101020100021110
4303200200020120000
51401231332024343
641223550123320
73665352215220
oct634040103000
9167671210243
1055306126848
1121500959755
12a875ab0540
1352a516305b
14296931c080
15168a61a833
hexce0808600

55306126848 has 320 divisors, whose sum is σ = 176277860352. Its totient is φ = 15075901440.

The previous prime is 55306126847. The next prime is 55306126849. The reversal of 55306126848 is 84862160355.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55306126847) and next prime (55306126849).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 55306126797 and 55306126806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55306126847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24330640 + ... + 24332912.

Almost surely, 255306126848 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 55306126848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88138930176).

55306126848 is an abundant number, since it is smaller than the sum of its proper divisors (120971733504).

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

55306126848 is a wasteful number, since it uses less digits than its factorization.

55306126848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 55306126848 in words is "fifty-five billion, three hundred six million, one hundred twenty-six thousand, eight hundred forty-eight".