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23480490384 = 24331328114879
BaseRepresentation
bin10101110111100010…
…111101100110010000
32020121101200111111000
4111313202331212100
5341042001143014
614441540222000
71460603606121
oct256742754620
966541614430
1023480490384
119a5a140a5a
12467369a900
1322a27a30c0
1411ca646048
159265c2509
hex5778bd990

23480490384 has 160 divisors (see below), whose sum is σ = 72845337600. Its totient is φ = 7198571520.

The previous prime is 23480490379. The next prime is 23480490419. The reversal of 23480490384 is 48309408432.

23480490384 is a `hidden beast` number, since 2 + 3 + 4 + 80 + 490 + 3 + 84 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1570657 + ... + 1585535.

It is an arithmetic number, because the mean of its divisors is an integer number (455283360).

Almost surely, 223480490384 is an apocalyptic number.

23480490384 is a gapful number since it is divisible by the number (24) 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 23480490384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36422668800).

23480490384 is an abundant number, since it is smaller than the sum of its proper divisors (49364847216).

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

23480490384 is a wasteful number, since it uses less digits than its factorization.

23480490384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15190 (or 15178 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 23480490384 in words is "twenty-three billion, four hundred eighty million, four hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 281 312 351 432 468 562 624 702 843 936 1124 1404 1686 1872 2248 2529 2808 3372 3653 4496 5058 5616 6744 7306 7587 10116 10959 13488 14612 14879 15174 20232 21918 29224 29758 30348 32877 40464 43836 44637 58448 59516 60696 65754 87672 89274 98631 119032 121392 131508 133911 175344 178548 193427 197262 238064 263016 267822 357096 386854 394524 401733 526032 535644 580281 714192 773708 789048 803466 1071288 1160562 1547416 1578096 1606932 1740843 2142576 2321124 3094832 3213864 3481686 4180999 4642248 5222529 6427728 6963372 8361998 9284496 10445058 12542997 13926744 16723996 20890116 25085994 27853488 33447992 37628991 41780232 50171988 54352987 66895984 75257982 83560464 100343976 108705974 112886973 150515964 163058961 200687952 217411948 225773946 301031928 326117922 434823896 451547892 489176883 602063856 652235844 869647792 903095784 978353766 1304471688 1467530649 1806191568 1956707532 2608943376 2935061298 3913415064 5870122596 7826830128 11740245192 23480490384