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23831227840 = 265728137861
BaseRepresentation
bin10110001100011100…
…111010110111000000
32021111211122210211011
4112030130322313000
5342301243242330
614540425530304
71502363044240
oct261434726700
967454583734
1023831227840
11a11a11a222
124751043994
13232a356b64
141221065b20
159472a482a
hex58c73adc0

23831227840 has 112 divisors (see below), whose sum is σ = 65087504064. Its totient is φ = 8141414400.

The previous prime is 23831227837. The next prime is 23831227859. The reversal of 23831227840 is 4872213832.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 23831227793 and 23831227802.

It is a congruent number.

It is an unprimeable number.

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, 610510 + ... + 648370.

Almost surely, 223831227840 is an apocalyptic number.

23831227840 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 23831227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32543752032).

23831227840 is an abundant number, since it is smaller than the sum of its proper divisors (41256276224).

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

23831227840 is a wasteful number, since it uses less digits than its factorization.

23831227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38166 (or 38156 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 23831227840 in words is "twenty-three billion, eight hundred thirty-one million, two hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 281 320 448 560 562 1120 1124 1405 1967 2240 2248 2810 3934 4496 5620 7868 8992 9835 11240 15736 17984 19670 22480 31472 37861 39340 44960 62944 75722 78680 89920 125888 151444 157360 189305 265027 302888 314720 378610 530054 605776 629440 757220 1060108 1211552 1325135 1514440 2120216 2423104 2650270 3028880 4240432 5300540 6057760 8480864 10601080 10638941 12115520 16961728 21202160 21277882 42404320 42555764 53194705 74472587 84808640 85111528 106389410 148945174 170223056 212778820 297890348 340446112 372362935 425557640 595780696 680892224 744725870 851115280 1191561392 1489451740 1702230560 2383122784 2978903480 3404461120 4766245568 5957806960 11915613920 23831227840