Search a number
-
+
16306013761100 = 225271511177713099
BaseRepresentation
bin1110110101001000101000…
…1010000110111001001100
32010201211200010122112211022
43231102022022012321030
54114124204010323400
654402513533013312
73302033136042260
oct355221212067114
963654603575738
1016306013761100
115217383742468
1219b426b024238
1391385c1c042b
14405302a120a0
151d42544deb85
hexed48a286e4c

16306013761100 has 144 divisors (see below), whose sum is σ = 40713285849600. Its totient is φ = 5552713728000.

The previous prime is 16306013761099. The next prime is 16306013761109. The reversal of 16306013761100 is 116731060361.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (16306013761109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244822351 + ... + 1244835449.

Almost surely, 216306013761100 is an apocalyptic number.

16306013761100 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 16306013761100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20356642924800).

16306013761100 is an abundant number, since it is smaller than the sum of its proper divisors (24407272088500).

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

16306013761100 is a wasteful number, since it uses less digits than its factorization.

16306013761100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25048 (or 25041 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 16306013761100 in words is "sixteen trillion, three hundred six billion, thirteen million, seven hundred sixty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 151 175 302 350 604 700 755 1057 1510 2114 3020 3775 4228 5285 7550 10570 11777 13099 15100 21140 23554 26198 26425 47108 52396 52850 58885 65495 82439 91693 105700 117770 130990 164878 183386 235540 261980 294425 327475 329756 366772 412195 458465 588850 654950 824390 916930 1177700 1309900 1648780 1778327 1833860 1977949 2060975 2292325 3556654 3955898 4121950 4584650 7113308 7911796 8243900 8891635 9169300 9889745 12448289 13845643 17783270 19779490 24896578 27691286 35566540 39558980 44458175 49448725 49793156 55382572 62241445 69228215 88916350 98897450 124482890 138456430 154266923 177832700 197794900 248965780 276912860 308533846 311207225 346141075 617067692 622414450 692282150 771334615 1079868461 1244828900 1384564300 1542669230 2159736922 3085338460 3856673075 4319473844 5399342305 7713346150 10798684610 15426692300 21597369220 23294305373 26996711525 46588610746 53993423050 93177221492 107986846100 116471526865 163060137611 232943053730 326120275222 465886107460 582357634325 652240550444 815300688055 1164715268650 1630601376110 2329430537300 3261202752220 4076503440275 8153006880550 16306013761100