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23212872432 = 2435191512081
BaseRepresentation
bin10101100111100110…
…000101001011110000
32012220202010002200000
4111213212011023300
5340014443404212
614355220230000
71451144105631
oct254746051360
965822102600
1023212872432
1199320746a2
1245b9b3b300
13225c202599
1411a2ca1888
1590cd5d1dc
hex5679852f0

23212872432 has 240 divisors, whose sum is σ = 71419595520. Its totient is φ = 7278336000.

The previous prime is 23212872427. The next prime is 23212872437. The reversal of 23212872432 is 23427821232.

23212872432 is a `hidden beast` number, since 2 + 3 + 212 + 8 + 7 + 2 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (23212872427) and next prime (23212872437).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23212872437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11153632 + ... + 11155712.

It is an arithmetic number, because the mean of its divisors is an integer number (297581648).

Almost surely, 223212872432 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 23212872432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35709797760).

23212872432 is an abundant number, since it is smaller than the sum of its proper divisors (48206723088).

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

23212872432 is a wasteful number, since it uses less digits than its factorization.

23212872432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2256 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 23212872432 in words is "twenty-three billion, two hundred twelve million, eight hundred seventy-two thousand, four hundred thirty-two".