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42242695956 = 22321769024013
BaseRepresentation
bin100111010101110111…
…000110001100010100
311001000222002021222200
4213111313012030110
51143003112232311
631223411324500
73023545663656
oct472567061424
9131028067880
1042242695956
1116a0799a77a
12822abb0730
133ca28b28a6
14208a3a06d6
151173839556
hex9d5dc6314

42242695956 has 36 divisors (see below), whose sum is σ = 113061334932. Its totient is φ = 13252610304.

The previous prime is 42242695907. The next prime is 42242695987. The reversal of 42242695956 is 65959624224.

42242695956 is a `hidden beast` number, since 4 + 2 + 2 + 42 + 6 + 9 + 595 + 6 = 666.

42242695956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11484551556 + 30758144400 = 107166^2 + 175380^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34511395 + ... + 34512618.

It is an arithmetic number, because the mean of its divisors is an integer number (3140592637).

Almost surely, 242242695956 is an apocalyptic number.

It is an amenable number.

42242695956 is an abundant number, since it is smaller than the sum of its proper divisors (70818638976).

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

42242695956 is a wasteful number, since it uses less digits than its factorization.

42242695956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69024040 (or 69024035 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 42242695956 in words is "forty-two billion, two hundred forty-two million, six hundred ninety-five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 69024013 138048026 207072039 276096052 414144078 621216117 828288156 1173408221 1242432234 2346816442 2484864468 3520224663 4693632884 7040449326 10560673989 14080898652 21121347978 42242695956