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14723728368 = 2431945735327
BaseRepresentation
bin11011011011001101…
…00100001111110000
31102000010021220020220
431231212210033300
5220123233301433
610433004333040
71030603424526
oct155546441760
942003256226
1014723728368
116276185058
122a2ab44180
13150853870b
149d966a316
155b29412b3
hex36d9a43f0

14723728368 has 80 divisors (see below), whose sum is σ = 40126955520. Its totient is φ = 4639292928.

The previous prime is 14723728367. The next prime is 14723728391. The reversal of 14723728368 is 86382732741.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14723728368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14723728367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399121 + ... + 434447.

It is an arithmetic number, because the mean of its divisors is an integer number (501586944).

Almost surely, 214723728368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14723728368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20063477760).

14723728368 is an abundant number, since it is smaller than the sum of its proper divisors (25403227152).

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

14723728368 is a wasteful number, since it uses less digits than its factorization.

14723728368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35814 (or 35808 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 14723728368 in words is "fourteen billion, seven hundred twenty-three million, seven hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 457 912 914 1371 1828 2742 3656 5484 7312 8683 10968 17366 21936 26049 34732 35327 52098 69464 70654 104196 105981 138928 141308 208392 211962 282616 416784 423924 565232 671213 847848 1342426 1695696 2013639 2684852 4027278 5369704 8054556 10739408 16109112 16144439 32218224 32288878 48433317 64577756 96866634 129155512 193733268 258311024 306744341 387466536 613488682 774933072 920233023 1226977364 1840466046 2453954728 3680932092 4907909456 7361864184 14723728368