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58228844544 = 211341323167
BaseRepresentation
bin110110001110101101…
…011010100000000000
312120022001211210020000
4312032231122200000
51423223041011134
642425554120000
74130652004113
oct661655324000
9176261753200
1058228844544
1122770734822
12b350880000
13564c829200
142b6556857a
1517abee5e99
hexd8eb5a800

58228844544 has 720 divisors, whose sum is σ = 197310072960. Its totient is φ = 17079828480.

The previous prime is 58228844521. The next prime is 58228844579. The reversal of 58228844544 is 44544882285.

58228844544 is a `hidden beast` number, since 5 + 82 + 2 + 88 + 445 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 869087199 + ... + 869087265.

It is an arithmetic number, because the mean of its divisors is an integer number (274041768).

Almost surely, 258228844544 is an apocalyptic number.

58228844544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58228844544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98655036480).

58228844544 is an abundant number, since it is smaller than the sum of its proper divisors (139081228416).

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

58228844544 is a wasteful number, since it uses less digits than its factorization.

58228844544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 116 counting only the distinct ones).

The product of its digits is 13107200, while the sum is 54.

The spelling of 58228844544 in words is "fifty-eight billion, two hundred twenty-eight million, eight hundred forty-four thousand, five hundred forty-four".