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4232105640 = 2332575872861
BaseRepresentation
bin1111110001000000…
…1100111010101000
3101220221110020112100
43330100030322220
532131404340030
61535540413400
7206606206260
oct37420147250
911827406470
104232105640
111881a05674
129a13a7260
13525a3a229
142c20d27a0
1519b822360
hexfc40cea8

4232105640 has 192 divisors, whose sum is σ = 15751532160. Its totient is φ = 965352960.

The previous prime is 4232105627. The next prime is 4232105663. The reversal of 4232105640 is 465012324.

4232105640 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 10 + 5 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477810 + ... + 1480670.

It is an arithmetic number, because the mean of its divisors is an integer number (82039230).

Almost surely, 24232105640 is an apocalyptic number.

4232105640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4232105640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7875766080).

4232105640 is an abundant number, since it is smaller than the sum of its proper divisors (11519426520).

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

4232105640 is a wasteful number, since it uses less digits than its factorization.

4232105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4232105640 is about 65054.6358071429. The cubic root of 4232105640 is about 1617.5293386205.

Adding to 4232105640 its reverse (465012324), we get a palindrome (4697117964).

The spelling of 4232105640 in words is "four billion, two hundred thirty-two million, one hundred five thousand, six hundred forty".