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48413567412 = 22327227445333
BaseRepresentation
bin101101000101101011…
…000110100110110100
311121222000200001020100
4231011223012212310
51243122333124122
634124010434100
73332506350600
oct550553064664
9147860601210
1048413567412
1119594218841
129471732930
1347471a7512
1424b3b6c500
1513d5475aac
hexb45ac69b4

48413567412 has 54 divisors (see below), whose sum is σ = 142358947458. Its totient is φ = 13832447328.

The previous prime is 48413567407. The next prime is 48413567417. The reversal of 48413567412 is 21476531484.

48413567412 is a `hidden beast` number, since 4 + 8 + 41 + 3 + 567 + 41 + 2 = 666.

48413567412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48413567407) and next prime (48413567417).

It can be written as a sum of positive squares in only one way, i.e., 37050860196 + 11362707216 = 192486^2 + 106596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48413567417) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13720903 + ... + 13724430.

Almost surely, 248413567412 is an apocalyptic number.

48413567412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

48413567412 is an abundant number, since it is smaller than the sum of its proper divisors (93945380046).

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

48413567412 is a wasteful number, since it uses less digits than its factorization.

48413567412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27445357 (or 27445345 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 48413567412 in words is "forty-eight billion, four hundred thirteen million, five hundred sixty-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 27445333 54890666 82335999 109781332 164671998 192117331 247007997 329343996 384234662 494015994 576351993 768469324 988031988 1152703986 1344821317 1729055979 2305407972 2689642634 3458111958 4034463951 5379285268 6916223916 8068927902 12103391853 16137855804 24206783706 48413567412