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23535500040 = 233251347671597
BaseRepresentation
bin10101111010110100…
…110011101100001000
32020202020012021112200
4111322310303230020
5341200042000130
614451223240200
71462142310123
oct257264635410
966666167480
1023535500040
119a881a3588
124689ba9060
1322b0cc37b0
1411d3a853ba
1592b33b760
hex57ad33b08

23535500040 has 384 divisors, whose sum is σ = 85435983360. Its totient is φ = 5581965312.

The previous prime is 23535500033. The next prime is 23535500041. The reversal of 23535500040 is 4000553532.

23535500040 is a `hidden beast` number, since 23 + 53 + 550 + 0 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23535499977 and 23535500013.

It is not an unprimeable number, because it can be changed into a prime (23535500041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14736522 + ... + 14738118.

It is an arithmetic number, because the mean of its divisors is an integer number (222489540).

Almost surely, 223535500040 is an apocalyptic number.

23535500040 is a gapful number since it is divisible by the number (20) 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 23535500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42717991680).

23535500040 is an abundant number, since it is smaller than the sum of its proper divisors (61900483320).

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

23535500040 is a wasteful number, since it uses less digits than its factorization.

23535500040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The spelling of 23535500040 in words is "twenty-three billion, five hundred thirty-five million, five hundred thousand, forty".