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16859464336 = 241121322272
BaseRepresentation
bin11111011001110011…
…10000001010010000
31121111222001112020001
433230321300022100
5234012010324321
611424540455344
71134536040151
oct175471601220
947458045201
1016859464336
117171801100
12332624a554
131788b59300
14b5d179928
1568a1b6c91
hex3ece70290

16859464336 has 135 divisors (see below), whose sum is σ = 39051122313. Its totient is φ = 7042738560.

The previous prime is 16859464277. The next prime is 16859464337. The reversal of 16859464336 is 63346495861.

It is a happy number.

The square root of 16859464336 is 129844.

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

It can be written as a sum of positive squares in only one way, i.e., 2494003600 + 14365460736 = 49940^2 + 119856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16859464337) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74270655 + ... + 74270881.

Almost surely, 216859464336 is an apocalyptic number.

16859464336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16859464336 is the 129844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16859464336

16859464336 is an abundant number, since it is smaller than the sum of its proper divisors (22191657977).

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

16859464336 is a wasteful number, since it uses less digits than its factorization.

16859464336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 253 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 55.

The spelling of 16859464336 in words is "sixteen billion, eight hundred fifty-nine million, four hundred sixty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 169 176 208 227 242 286 338 454 484 572 676 908 968 1144 1352 1573 1816 1859 1936 2288 2497 2704 2951 3146 3632 3718 4994 5902 6292 7436 9988 11804 12584 14872 19976 20449 23608 25168 27467 29744 32461 38363 39952 40898 47216 51529 54934 64922 76726 81796 103058 109868 129844 153452 163592 206116 219736 259688 306904 327184 357071 412232 421993 439472 519376 566819 613808 669877 714142 824464 843986 1133638 1339754 1428284 1687972 2267276 2679508 2856568 3375944 4534552 4641923 5359016 5713136 6235009 6751888 7368647 8708401 9069104 9283846 10718032 12470018 14737294 17416802 18567692 24940036 29474588 34833604 37135384 49880072 58949176 69667208 74270768 81055117 95792411 99760144 117898352 139334416 162110234 191584822 324220468 383169644 648440936 766339288 1053716521 1296881872 1532678576 2107433042 4214866084 8429732168 16859464336