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16013440028784 = 24311593731378129
BaseRepresentation
bin1110100100000110101101…
…1001111001000001110000
32002200212111011120000012110
43221001223121321001300
54044331011121410114
654020250042325320
73241634654253042
oct351015331710160
962625434500173
1016013440028784
115114297476a80
1219676187b9840
138c20a3aa5273
143d50a9caba92
151cb82dc9b759
hexe906b679070

16013440028784 has 160 divisors (see below), whose sum is σ = 46016752953600. Its totient is φ = 4757518356480.

The previous prime is 16013440028783. The next prime is 16013440028791. The reversal of 16013440028784 is 48782004431061.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16013440028783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10930632 + ... + 12308760.

It is an arithmetic number, because the mean of its divisors is an integer number (287604705960).

Almost surely, 216013440028784 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 16013440028784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008376476800).

16013440028784 is an abundant number, since it is smaller than the sum of its proper divisors (30003312924816).

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

16013440028784 is a wasteful number, since it uses less digits than its factorization.

16013440028784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378583 (or 1378577 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 16013440028784 in words is "sixteen trillion, thirteen billion, four hundred forty million, twenty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 373 472 528 649 708 746 944 1119 1298 1416 1492 1947 2238 2596 2832 2984 3894 4103 4476 5192 5968 7788 8206 8952 10384 12309 15576 16412 17904 22007 24618 31152 32824 44014 49236 65648 66021 88028 98472 132042 176056 196944 242077 264084 352112 484154 528168 726231 968308 1056336 1378129 1452462 1936616 2756258 2904924 3873232 4134387 5512516 5809848 8268774 11025032 11619696 15159419 16537548 22050064 30318838 33075096 45478257 60637676 66150192 81309611 90956514 121275352 162619222 181913028 242550704 243928833 325238444 363826056 487857666 514042117 650476888 727652112 894405721 975715332 1028084234 1300953776 1542126351 1788811442 1951430664 2056168468 2683217163 3084252702 3577622884 3902861328 4112336936 5366434326 5654463287 6168505404 7155245768 8224673872 10732868652 11308926574 12337010808 14310491536 16963389861 21465737304 22617853148 24674021616 30328484903 33926779722 42931474608 45235706296 60656969806 67853559444 90471412592 90985454709 121313939612 135707118888 181970909418 242627879224 271414237776 333613333933 363941818836 485255758448 667226667866 727883637672 1000840001799 1334453335732 1455767275344 2001680003598 2668906671464 4003360007196 5337813342928 8006720014392 16013440028784