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42646484848 = 2411234636361
BaseRepresentation
bin100111101101111011…
…011011011101110000
311002002002212220012211
4213231323123131300
51144320000003343
631331434101504
73036551066032
oct475573333560
9132062786184
1042646484848
11170a4913300
12832227a894
13403844c926
1420c7c6dc52
151198eea79d
hex9ededb770

42646484848 has 60 divisors (see below), whose sum is σ = 90862542064. Its totient is φ = 19376121600.

The previous prime is 42646484813. The next prime is 42646484849. The reversal of 42646484848 is 84848464624.

It is a junction number, because it is equal to n+sod(n) for n = 42646484792 and 42646484801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42646484849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6701188 + ... + 6707548.

Almost surely, 242646484848 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 42646484848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45431271032).

42646484848 is an abundant number, since it is smaller than the sum of its proper divisors (48216057216).

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

42646484848 is a wasteful number, since it uses less digits than its factorization.

42646484848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9854 (or 9837 counting only the distinct ones).

The product of its digits is 37748736, while the sum is 58.

The spelling of 42646484848 in words is "forty-two billion, six hundred forty-six million, four hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 3463 6361 6926 12722 13852 25444 27704 38093 50888 55408 69971 76186 101776 139942 152372 279884 304744 419023 559768 609488 769681 838046 1119536 1539362 1676092 3078724 3352184 6157448 6704368 12314896 22028143 44056286 88112572 176225144 242309573 352450288 484619146 969238292 1938476584 2665405303 3876953168 5330810606 10661621212 21323242424 42646484848