Search a number
-
+
42009105632 = 2513100983427
BaseRepresentation
bin100111000111111100…
…000001010011100000
311000102200112200022012
4213013330001103200
51142013312340012
631144304532052
73015011335424
oct470774012340
9130380480265
1042009105632
11168a805491a
128184921028
133c66397370
142067356b84
15115d097622
hex9c7f014e0

42009105632 has 24 divisors (see below), whose sum is σ = 89067383496. Its totient is φ = 19388817792.

The previous prime is 42009105631. The next prime is 42009105689. The reversal of 42009105632 is 23650190024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42009105631) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50491298 + ... + 50492129.

It is an arithmetic number, because the mean of its divisors is an integer number (3711140979).

Almost surely, 242009105632 is an apocalyptic number.

It is an amenable number.

42009105632 is an abundant number, since it is smaller than the sum of its proper divisors (47058277864).

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

42009105632 is a wasteful number, since it uses less digits than its factorization.

42009105632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100983450 (or 100983442 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 42009105632 its reverse (23650190024), we get a palindrome (65659295656).

The spelling of 42009105632 in words is "forty-two billion, nine million, one hundred five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 100983427 201966854 403933708 807867416 1312784551 1615734832 2625569102 3231469664 5251138204 10502276408 21004552816 42009105632