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23431030272 = 293313241541
BaseRepresentation
bin10101110100100110…
…010010011000000000
32020110221121122222000
4111310212102120000
5340441320432042
614433012144000
71456433320416
oct256446223000
966427548860
1023431030272
119a34229931
12465b008000
132295476670
1411c3c4d2b6
159220a274c
hex574992600

23431030272 has 320 divisors, whose sum is σ = 75141232320. Its totient is φ = 7166361600.

The previous prime is 23431030247. The next prime is 23431030277. The reversal of 23431030272 is 27203013432.

23431030272 is a `hidden beast` number, since 2 + 343 + 10 + 302 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23431030277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43310322 + ... + 43310862.

It is an arithmetic number, because the mean of its divisors is an integer number (234816351).

Almost surely, 223431030272 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 23431030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37570616160).

23431030272 is an abundant number, since it is smaller than the sum of its proper divisors (51710202048).

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

23431030272 is a wasteful number, since it uses less digits than its factorization.

23431030272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 23431030272 in words is "twenty-three billion, four hundred thirty-one million, thirty thousand, two hundred seventy-two".