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14272478864 = 2473137241461
BaseRepresentation
bin11010100101011010…
…01011111010010000
31100211200012001022022
431102231023322100
5213212223310424
610320124431012
71013454032360
oct152255137220
940750161268
1014272478864
116064495686
1229239a8468
131465bc2087
149957649a0
1558800795e
hex352b4be90

14272478864 has 160 divisors (see below), whose sum is σ = 33716508672. Its totient is φ = 5723136000.

The previous prime is 14272478863. The next prime is 14272478867. The reversal of 14272478864 is 46887427241.

It is a happy number.

14272478864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14272478863) 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 31 ways as a sum of consecutive naturals, for example, 30959594 + ... + 30960054.

Almost surely, 214272478864 is an apocalyptic number.

14272478864 is a gapful number since it is divisible by the number (14) 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 14272478864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16858254336).

14272478864 is an abundant number, since it is smaller than the sum of its proper divisors (19444029808).

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

14272478864 is a wasteful number, since it uses less digits than its factorization.

14272478864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 53.

The spelling of 14272478864 in words is "fourteen billion, two hundred seventy-two million, four hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 37 56 62 74 112 124 148 217 241 248 259 296 434 461 482 496 518 592 868 922 964 1036 1147 1687 1736 1844 1928 2072 2294 3227 3374 3472 3688 3856 4144 4588 6454 6748 7376 7471 8029 8917 9176 12908 13496 14291 14942 16058 17057 17834 18352 25816 26992 28582 29884 32116 34114 35668 51632 52297 57164 59768 62419 64232 68228 71336 100037 104594 111101 114328 119399 119536 124838 128464 136456 142672 200074 209188 222202 228656 238798 249676 272912 276427 400148 418376 444404 477596 499352 528767 552854 777707 800296 836752 888808 955192 998704 1057534 1105708 1555414 1600592 1777616 1910384 1934989 2115068 2211416 3110828 3444131 3701369 3869978 4110737 4230136 4422832 6221656 6888262 7402738 7739956 8221474 8460272 12443312 13776524 14805476 15479912 16442948 24108917 27553048 28775159 29610952 30959824 32885896 48217834 55106096 57550318 59221904 65771792 96435668 115100636 127432847 192871336 230201272 254865694 385742672 460402544 509731388 892029929 1019462776 1784059858 2038925552 3568119716 7136239432 14272478864