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23442351504 = 24311133415261
BaseRepresentation
bin10101110101010001…
…011110010110010000
32020111201220211202220
4111311101132112100
5341002220222004
614434054541040
71456631462055
oct256521362620
966451824686
1023442351504
119a3a661720
124662967780
13229790b710
1411c555902c
1592308bdd9
hex57545e590

23442351504 has 80 divisors (see below), whose sum is σ = 71146737984. Its totient is φ = 6557299200.

The previous prime is 23442351503. The next prime is 23442351547. The reversal of 23442351504 is 40515324432.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (23442351503) 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 15 ways as a sum of consecutive naturals, for example, 1700767 + ... + 1714494.

Almost surely, 223442351504 is an apocalyptic number.

23442351504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23442351504 is an abundant number, since it is smaller than the sum of its proper divisors (47704386480).

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

23442351504 is a wasteful number, since it uses less digits than its factorization.

23442351504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415296 (or 3415290 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 23442351504 its reverse (40515324432), we get a palindrome (63957675936).

The spelling of 23442351504 in words is "twenty-three billion, four hundred forty-two million, three hundred fifty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 3415261 6830522 10245783 13661044 20491566 27322088 37567871 40983132 44398393 54644176 75135742 81966264 88796786 112703613 133195179 150271484 163932528 177593572 225407226 266390358 300542968 355187144 450814452 488382323 532780716 601085936 710374288 901628904 976764646 1065561432 1465146969 1803257808 1953529292 2131122864 2930293938 3907058584 5860587876 7814117168 11721175752 23442351504