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23503504440 = 2335131071391013
BaseRepresentation
bin10101111000111010…
…110000010000111000
32020122222222201211110
4111320322300100320
5341113344120230
614444121400320
71461303330363
oct257072602070
966588881743
1023503504440
119a7112a839
12467b3390a0
1322a74a03a0
1411cd7170da
1592861b4b0
hex578eb0438

23503504440 has 256 divisors, whose sum is σ = 77271667200. Its totient is φ = 5684557824.

The previous prime is 23503504337. The next prime is 23503504441. The reversal of 23503504440 is 4440530532.

It is a super-2 number, since 2×235035044402 (a number of 22 digits) contains 22 as substring.

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 = 23503504398 and 23503504407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23503504441) 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, 23201374 + ... + 23202386.

It is an arithmetic number, because the mean of its divisors is an integer number (301842450).

Almost surely, 223503504440 is an apocalyptic number.

23503504440 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 23503504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38635833600).

23503504440 is an abundant number, since it is smaller than the sum of its proper divisors (53768162760).

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

23503504440 is a wasteful number, since it uses less digits than its factorization.

23503504440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 23503504440 in words is "twenty-three billion, five hundred three million, five hundred four thousand, four hundred forty".