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16315542000160 = 2551324201143629
BaseRepresentation
bin1110110101101100001000…
…0101011101001000100000
32010202202021011201020121021
43231123002011131020200
54114303212223001120
654411131224135224
73302521224533014
oct355330205351040
963682234636537
1016315542000160
1152204231284a7
1219b608a007514
1391471a232100
14405968250544
151d4610c61aaa
hexed6c215d220

16315542000160 has 144 divisors (see below), whose sum is σ = 41748809727240. Its totient is φ = 6022724198400.

The previous prime is 16315542000119. The next prime is 16315542000161. The reversal of 16315542000160 is 6100024551361.

It can be written as a sum of positive squares in 12 ways, for example, as 784407806224 + 15531134193936 = 885668^2 + 3940956^2 .

It is not an unprimeable number, because it can be changed into a prime (16315542000161) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 113523226 + ... + 113666854.

Almost surely, 216315542000160 is an apocalyptic number.

16315542000160 is a gapful number since it is divisible by the number (10) 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 16315542000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20874404863620).

16315542000160 is an abundant number, since it is smaller than the sum of its proper divisors (25433267727080).

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

16315542000160 is a wasteful number, since it uses less digits than its factorization.

16315542000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147871 (or 147850 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 16315542000160 in words is "sixteen trillion, three hundred fifteen billion, five hundred forty-two million, one hundred sixty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 169 208 260 338 416 520 676 845 1040 1352 1690 2080 2704 3380 4201 5408 6760 8402 13520 16804 21005 27040 33608 42010 54613 67216 84020 109226 134432 143629 168040 218452 273065 287258 336080 436904 546130 574516 672160 709969 718145 873808 1092260 1149032 1419938 1436290 1747616 1867177 2184520 2298064 2839876 2872580 3549845 3734354 4369040 4596128 5679752 5745160 7099690 7468708 8738080 9335885 11359504 11490320 14199380 14937416 18671770 22719008 22980640 24273301 28398760 29874832 37343540 48546602 56797520 59749664 74687080 97093204 113595040 121366505 149374160 194186408 242733010 298748320 388372816 485466020 603385429 776745632 970932040 1206770858 1941864080 2413541716 3016927145 3883728160 4827083432 6033854290 7844010577 9654166864 12067708580 15688021154 19308333728 24135417160 31376042308 39220052885 48270834320 62752084616 78440105770 96541668640 101972137501 125504169232 156880211540 203944275002 251008338464 313760423080 407888550004 509860687505 627520846160 815777100008 1019721375010 1255041692320 1631554200016 2039442750020 3263108400032 4078885500040 8157771000080 16315542000160