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209214881915856 = 2433110912710156859
BaseRepresentation
bin101111100100011110100010…
…101101111110001111010000
31000102202202011211200020002220
4233210132202231332033100
5204410234034232301411
62020543553453141040
762032163544244635
oct5744364255761720
91012682154606086
10209214881915856
1160731595691293
121b56b2b478a780
138c97b566b0bbb
1439940a907418c
15192c25c47bb06
hexbe47a2b7e3d0

209214881915856 has 160 divisors (see below), whose sum is σ = 567458080358400. Its totient is φ = 66342971358720.

The previous prime is 209214881915839. The next prime is 209214881915857. The reversal of 209214881915856 is 658519188412902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209214881915857) 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, 15519955 + ... + 25676813.

It is an arithmetic number, because the mean of its divisors is an integer number (3546613002240).

Almost surely, 2209214881915856 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 209214881915856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283729040179200).

209214881915856 is an abundant number, since it is smaller than the sum of its proper divisors (358243198442544).

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

209214881915856 is a wasteful number, since it uses less digits than its factorization.

209214881915856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10157137 (or 10157131 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 69.

The spelling of 209214881915856 in words is "two hundred nine trillion, two hundred fourteen billion, eight hundred eighty-one million, nine hundred fifteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 109 124 127 186 218 248 254 327 372 381 436 496 508 654 744 762 872 1016 1308 1488 1524 1744 2032 2616 3048 3379 3937 5232 6096 6758 7874 10137 11811 13516 13843 15748 20274 23622 27032 27686 31496 40548 41529 47244 54064 55372 62992 81096 83058 94488 110744 162192 166116 188976 221488 332232 429133 664464 858266 1287399 1716532 2574798 3433064 5149596 6866128 10156859 10299192 20313718 20598384 30470577 40627436 60941154 81254872 121882308 162509744 243764616 314862629 487529232 629725258 944587887 1107097631 1259450516 1289921093 1889175774 2214195262 2518901032 2579842186 3321292893 3778351548 3869763279 4428390524 5037802064 5159684372 6642585786 7556703096 7739526558 8856781048 10319368744 13285171572 15113406192 15479053116 17713562096 20638737488 26570343144 30958106232 34320026561 39987553883 53140686288 61916212464 68640053122 79975107766 102960079683 119962661649 137280106244 140601399137 159950215532 205920159366 239925323298 274560212488 281202798274 319900431064 411840318732 421804197411 479850646596 549120424976 562405596548 639800862128 823680637464 843608394822 959701293192 1124811193096 1647361274928 1687216789644 1919402586384 2249622386192 3374433579288 4358643373247 6748867158576 8717286746494 13075930119741 17434573492988 26151860239482 34869146985976 52303720478964 69738293971952 104607440957928 209214881915856