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23488488432 = 243354371501
BaseRepresentation
bin10101111000000001…
…011110001111110000
32020121221201211202000
4111320001132033300
5341101023112212
614442423454000
71461031600053
oct257001361760
966557654660
1023488488432
119a63704012
1246762b7300
1322a4343686
1411cb728a9a
159271521dc
hex57805e3f0

23488488432 has 40 divisors (see below), whose sum is σ = 67420662480. Its totient is φ = 7829496000.

The previous prime is 23488488367. The next prime is 23488488437.

23488488432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (23488488437) 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 7 ways as a sum of consecutive naturals, for example, 27185319 + ... + 27186182.

It is an arithmetic number, because the mean of its divisors is an integer number (1685516562).

Almost surely, 223488488432 is an apocalyptic number.

It is an amenable number.

23488488432 is an abundant number, since it is smaller than the sum of its proper divisors (43932174048).

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

23488488432 is a wasteful number, since it uses less digits than its factorization.

23488488432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54371518 (or 54371506 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 23488488432 in words is "twenty-three billion, four hundred eighty-eight million, four hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 54371501 108743002 163114503 217486004 326229006 434972008 489343509 652458012 869944016 978687018 1304916024 1468030527 1957374036 2609832048 2936061054 3914748072 5872122108 7829496144 11744244216 23488488432