Search a number
-
+
15966502656 = 283134613469
BaseRepresentation
bin11101101111010110…
…10111111100000000
31112012201210101002020
432313223113330000
5230144411041111
611200201321440
71103444014266
oct166753277400
945181711066
1015966502656
116853746845
123117196280
131675b58410
14ab6732436
15636aca906
hex3b7ad7f00

15966502656 has 144 divisors (see below), whose sum is σ = 45875454240. Its totient is φ = 4900700160.

The previous prime is 15966502639. The next prime is 15966502729. The reversal of 15966502656 is 65620566951.

It is a junction number, because it is equal to n+sod(n) for n = 15966502599 and 15966502608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4600890 + ... + 4604358.

Almost surely, 215966502656 is an apocalyptic number.

15966502656 is a gapful number since it is divisible by the number (16) 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 15966502656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22937727120).

15966502656 is an abundant number, since it is smaller than the sum of its proper divisors (29908951584).

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

15966502656 is a wasteful number, since it uses less digits than its factorization.

15966502656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 51.

The spelling of 15966502656 in words is "fifteen billion, nine hundred sixty-six million, five hundred two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 461 624 768 832 922 1248 1383 1664 1844 2496 2766 3328 3469 3688 4992 5532 5993 6938 7376 9984 10407 11064 11986 13876 14752 17979 20814 22128 23972 27752 29504 35958 41628 44256 45097 47944 55504 59008 71916 83256 88512 90194 95888 111008 118016 135291 143832 166512 177024 180388 191776 222016 270582 287664 333024 354048 360776 383552 444032 541164 575328 666048 721552 767104 888064 1082328 1150656 1332096 1443104 1534208 1599209 2164656 2301312 2664192 2886208 3198418 4329312 4602624 4797627 5772416 6396836 8658624 9595254 11544832 12793672 17317248 19190508 20789717 25587344 34634496 38381016 41579434 51174688 62369151 76762032 83158868 102349376 124738302 153524064 166317736 204698752 249476604 307048128 332635472 409397504 498953208 614096256 665270944 997906416 1228192512 1330541888 1995812832 2661083776 3991625664 5322167552 7983251328 15966502656