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48578365746 = 232113173138053
BaseRepresentation
bin101101001111011111…
…110000100100110010
311122101111202200001100
4231033133300210302
51243442030200441
634152214545230
73336550203321
oct551737604462
9148344680040
1048578365746
1119669248209
1294b8968216
134772388021
1424cb9ca0b8
1513e4b79cb6
hexb4f7f0932

48578365746 has 48 divisors (see below), whose sum is σ = 106799126616. Its totient is φ = 15956602368.

The previous prime is 48578365723. The next prime is 48578365783. The reversal of 48578365746 is 64756387584.

48578365746 is a `hidden beast` number, since 4 + 8 + 57 + 8 + 3 + 6 + 574 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45769895721 + 2808470025 = 213939^2 + 52995^2 .

It is a super-2 number, since 2×485783657462 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282856 + ... + 420908.

Almost surely, 248578365746 is an apocalyptic number.

48578365746 is an abundant number, since it is smaller than the sum of its proper divisors (58220760870).

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

48578365746 is a wasteful number, since it uses less digits than its factorization.

48578365746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138347 (or 138344 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 48578365746 in words is "forty-eight billion, five hundred seventy-eight million, three hundred sixty-five thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 18 113 173 226 339 346 519 678 1017 1038 1557 2034 3114 19549 39098 58647 117294 138053 175941 276106 351882 414159 828318 1242477 2484954 15599989 23883169 31199978 46799967 47766338 71649507 93599934 140399901 143299014 214948521 280799802 429897042 2698798097 5397596194 8096394291 16192788582 24289182873 48578365746