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14639064064 = 2101921992
BaseRepresentation
bin11011010001000111…
…00110010000000000
31101210012222111122221
431220203212100000
5214440100022224
610420341540424
71025524664032
oct155043462000
941705874587
1014639064064
116232408559
122a06714714
1314c3b342b1
149cc30bc52
155aa2ba6e4
hex3688e6400

14639064064 has 99 divisors (see below), whose sum is σ = 31041078507. Its totient is φ = 6899447808.

The previous prime is 14639064061. The next prime is 14639064107. The reversal of 14639064064 is 46046093641.

The square root of 14639064064 is 120992.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14639064064.

It is not an unprimeable number, because it can be changed into a prime (14639064061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73563037 + ... + 73563235.

Almost surely, 214639064064 is an apocalyptic number.

14639064064 is the 120992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14639064064

14639064064 is an abundant number, since it is smaller than the sum of its proper divisors (16402014443).

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

14639064064 is an frugal number, since it uses more digits than its factorization.

14639064064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 14639064064 in words is "fourteen billion, six hundred thirty-nine million, sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 199 256 304 361 398 512 608 722 796 1024 1216 1444 1592 2432 2888 3184 3781 4864 5776 6368 7562 9728 11552 12736 15124 19456 23104 25472 30248 39601 46208 50944 60496 71839 79202 92416 101888 120992 143678 158404 184832 203776 241984 287356 316808 369664 483968 574712 633616 752419 967936 1149424 1267232 1504838 1935872 2298848 2534464 3009676 3871744 4597696 5068928 6019352 9195392 10137856 12038704 14295961 18390784 20275712 24077408 28591922 36781568 40551424 48154816 57183844 73563136 96309632 114367688 192619264 228735376 385238528 457470752 770477056 914941504 1829883008 3659766016 7319532032 14639064064