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23443434432 = 2632112379091
BaseRepresentation
bin10101110101010101…
…100110101111000000
32020111210221212021100
4111311111212233000
5341003004400212
614434134054400
71456643622225
oct256525465700
966453855240
1023443434432
119a40231300
1246631aa400
132297bca5c2
1411c575b94c
15923202bdc
hex575566bc0

23443434432 has 252 divisors, whose sum is σ = 75865048168. Its totient is φ = 6911308800.

The previous prime is 23443434409. The next prime is 23443434437.

23443434432 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23443434437) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2574207 + ... + 2583297.

Almost surely, 223443434432 is an apocalyptic number.

23443434432 is a gapful number since it is divisible by the number (22) 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 23443434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37932524084).

23443434432 is an abundant number, since it is smaller than the sum of its proper divisors (52421613736).

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

23443434432 is a wasteful number, since it uses less digits than its factorization.

23443434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9168 (or 9144 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

The spelling of 23443434432 in words is "twenty-three billion, four hundred forty-three million, four hundred thirty-four thousand, four hundred thirty-two".