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5132835540 = 223557312157
BaseRepresentation
bin1001100011111000…
…01101101011010100
3111020201100001200000
410301330031223110
541003001214130
62205154251300
7241124245050
oct46174155324
914221301600
105132835540
1121a4396348
12bb2b86b30
1363a52abc1
1436999cc60
15200945260
hex131f0dad4

5132835540 has 432 divisors, whose sum is σ = 19188763776. Its totient is φ = 1128142080.

The previous prime is 5132835419. The next prime is 5132835563. The reversal of 5132835540 is 455382315.

5132835540 is a `hidden beast` number, since 5 + 1 + 32 + 83 + 5 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5132835495 and 5132835504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32693142 + ... + 32693298.

Almost surely, 25132835540 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 5132835540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9594381888).

5132835540 is an abundant number, since it is smaller than the sum of its proper divisors (14055928236).

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

5132835540 is a wasteful number, since it uses less digits than its factorization.

5132835540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5132835540 is about 71643.8102001841. The cubic root of 5132835540 is about 1724.9868278767.

It can be divided in two parts, 51328 and 35540, that added together give a palindrome (86868).

The spelling of 5132835540 in words is "five billion, one hundred thirty-two million, eight hundred thirty-five thousand, five hundred forty".