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23583426048 = 29357132083
BaseRepresentation
bin10101111101101011…
…101000011000000000
32020212120101011200000
4111331223220120000
5341244324113143
614500054400000
71463263546110
oct257553503000
966776334600
1023583426048
11a002258056
1246a2060000
1322bac03b90
1411da19d040
15930656bd3
hex57dae8600

23583426048 has 480 divisors, whose sum is σ = 86914603776. Its totient is φ = 6216818688.

The previous prime is 23583426037. The next prime is 23583426079. The reversal of 23583426048 is 84062438532.

23583426048 is a `hidden beast` number, since 2 + 3 + 5 + 8 + 34 + 2 + 604 + 8 = 666.

It is a super-2 number, since 2×235834260482 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23583425994 and 23583426012.

It is a congruent number.

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, 11320815 + ... + 11322897.

Almost surely, 223583426048 is an apocalyptic number.

23583426048 is a gapful number since it is divisible by the number (28) 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 23583426048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43457301888).

23583426048 is an abundant number, since it is smaller than the sum of its proper divisors (63331177728).

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

23583426048 is an equidigital number, since it uses as much as digits as its factorization.

23583426048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 23583426048 in words is "twenty-three billion, five hundred eighty-three million, four hundred twenty-six thousand, forty-eight".