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23387280320 = 265435332069
BaseRepresentation
bin10101110001111111…
…011001001111000000
32020100220021221022102
4111301333121033000
5340344120432240
614424410325532
71455362413505
oct256177311700
966326257272
1023387280320
119a11567948
1246484298a8
132289399011
1411bc1014ac
1591d30e815
hex571fd93c0

23387280320 has 112 divisors (see below), whose sum is σ = 58063119840. Its totient is φ = 8964673536.

The previous prime is 23387280313. The next prime is 23387280349. The reversal of 23387280320 is 2308278332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 713246 + ... + 745314.

Almost surely, 223387280320 is an apocalyptic number.

23387280320 is a gapful number since it is divisible by the number (20) 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 23387280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29031559920).

23387280320 is an abundant number, since it is smaller than the sum of its proper divisors (34675839520).

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

23387280320 is a wasteful number, since it uses less digits than its factorization.

23387280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32182 (or 32172 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 23387280320 in words is "twenty-three billion, three hundred eighty-seven million, two hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 53 64 80 86 106 160 172 212 215 265 320 344 424 430 530 688 848 860 1060 1376 1696 1720 2120 2279 2752 3392 3440 4240 4558 6880 8480 9116 11395 13760 16960 18232 22790 32069 36464 45580 64138 72928 91160 128276 145856 160345 182320 256552 320690 364640 513104 641380 729280 1026208 1282760 1378967 1699657 2052416 2565520 2757934 3399314 5131040 5515868 6798628 6894835 8498285 10262080 11031736 13597256 13789670 16996570 22063472 27194512 27579340 33993140 44126944 54389024 55158680 67986280 73085251 88253888 108778048 110317360 135972560 146170502 220634720 271945120 292341004 365426255 441269440 543890240 584682008 730852510 1169364016 1461705020 2338728032 2923410040 4677456064 5846820080 11693640160 23387280320