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23424072960 = 28356100019
BaseRepresentation
bin10101110100001011…
…101111110100000000
32020110110112012022210
4111310023233310000
5340433030313320
614432203102120
71456320222621
oct256413576400
966413465283
1023424072960
119a30307792
124658811940
132293baba02
1411c2d5ba48
1592167b0e0
hex5742efd00

23424072960 has 72 divisors (see below), whose sum is σ = 74810645280. Its totient is φ = 6246418432.

The previous prime is 23424072949. The next prime is 23424072979. The reversal of 23424072960 is 6927042432.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 3046170 + ... + 3053849.

It is an arithmetic number, because the mean of its divisors is an integer number (1039036740).

Almost surely, 223424072960 is an apocalyptic number.

23424072960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23424072960 is an abundant number, since it is smaller than the sum of its proper divisors (51386572320).

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

23424072960 is an equidigital number, since it uses as much as digits as its factorization.

23424072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6100043 (or 6100029 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 23424072960 in words is "twenty-three billion, four hundred twenty-four million, seventy-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 6100019 12200038 18300057 24400076 30500095 36600114 48800152 61000190 73200228 91500285 97600304 122000380 146400456 183000570 195200608 244000760 292800912 366001140 390401216 488001520 585601824 732002280 780802432 976003040 1171203648 1464004560 1561604864 1952006080 2342407296 2928009120 3904012160 4684814592 5856018240 7808024320 11712036480 23424072960