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32135214540 = 223511136415843
BaseRepresentation
bin11101111011011010…
…000111010111001100
310001221120002001002010
4131323122013113030
51011303103331130
622432425101220
72215224550062
oct357332072714
9101846061063
1032135214540
11126a0544350
12628a027810
133051862560
1417abc60032
15c812ea0b0
hex77b6875cc

32135214540 has 192 divisors, whose sum is σ = 105892157952. Its totient is φ = 7178649600.

The previous prime is 32135214509. The next prime is 32135214547. The reversal of 32135214540 is 4541253123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32135214498 and 32135214507.

It is not an unprimeable number, because it can be changed into a prime (32135214547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5496859 + ... + 5502701.

It is an arithmetic number, because the mean of its divisors is an integer number (551521656).

Almost surely, 232135214540 is an apocalyptic number.

32135214540 is a gapful number since it is divisible by the number (30) 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 32135214540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52946078976).

32135214540 is an abundant number, since it is smaller than the sum of its proper divisors (73756943412).

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

32135214540 is a wasteful number, since it uses less digits than its factorization.

32135214540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6518 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 32135214540 its reverse (4541253123), we get a palindrome (36676467663).

The spelling of 32135214540 in words is "thirty-two billion, one hundred thirty-five million, two hundred fourteen thousand, five hundred forty".