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48459379104 = 2532179897749
BaseRepresentation
bin101101001000011001…
…110111000110100000
311122002012212112001200
4231020121313012200
51243221100112404
634132324401200
73333603632433
oct551031670640
9148065775050
1048459379104
1119608068844
129484b46200
134753827426
1424b9c9581a
1513d94c4839
hexb486771a0

48459379104 has 72 divisors (see below), whose sum is σ = 145912630500. Its totient is φ = 15202940928.

The previous prime is 48459379097. The next prime is 48459379109. The reversal of 48459379104 is 40197395484.

48459379104 is a `hidden beast` number, since 48 + 4 + 593 + 7 + 9 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36730489104 + 11728890000 = 191652^2 + 108300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×484593791042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48459379109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4943979 + ... + 4953770.

Almost surely, 248459379104 is an apocalyptic number.

It is an amenable number.

48459379104 is an abundant number, since it is smaller than the sum of its proper divisors (97453251396).

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

48459379104 is a wasteful number, since it uses less digits than its factorization.

48459379104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9897782 (or 9897771 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 48459379104 in words is "forty-eight billion, four hundred fifty-nine million, three hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 9897749 19795498 29693247 39590996 59386494 79181992 89079741 118772988 158363984 168261733 178159482 237545976 316727968 336523466 356318964 475091952 504785199 673046932 712637928 950183904 1009570398 1346093864 1425275856 1514355597 2019140796 2692187728 2850551712 3028711194 4038281592 5384375456 6057422388 8076563184 12114844776 16153126368 24229689552 48459379104