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23434137312 = 2531959713067
BaseRepresentation
bin10101110100110010…
…001000111011100000
32020111011110112000120
4111310302020323200
5340443114343222
614433202520240
71456501611015
oct256462107340
966434415016
1023434137312
119a35a61233
124660066080
132295cc3951
1411c441b70c
159224b815c
hex574c88ee0

23434137312 has 192 divisors, whose sum is σ = 66798950400. Its totient is φ = 7170024960.

The previous prime is 23434137277. The next prime is 23434137313. The reversal of 23434137312 is 21373143432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434137313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7639203 + ... + 7642269.

It is an arithmetic number, because the mean of its divisors is an integer number (347911200).

Almost surely, 223434137312 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 23434137312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33399475200).

23434137312 is an abundant number, since it is smaller than the sum of its proper divisors (43364813088).

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

23434137312 is a wasteful number, since it uses less digits than its factorization.

23434137312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3221 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The spelling of 23434137312 in words is "twenty-three billion, four hundred thirty-four million, one hundred thirty-seven thousand, three hundred twelve".