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139763969664 = 27311227314557
BaseRepresentation
bin1000001000101010010…
…1001110111010000000
3111100202101120021222220
42002022211032322000
54242214034012124
6144112350531040
713045324066134
oct2021245167200
9440671507886
10139763969664
1154301132050
1223106806a80
1310244a00c87
146a9c14b3c4
15398014b879
hex208a94ee80

139763969664 has 128 divisors (see below), whose sum is σ = 405203878080. Its totient is φ = 42331176960.

The previous prime is 139763969633. The next prime is 139763969693. The reversal of 139763969664 is 466969367931.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9593874 + ... + 9608430.

Almost surely, 2139763969664 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 139763969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202601939040).

139763969664 is an abundant number, since it is smaller than the sum of its proper divisors (265439908416).

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

139763969664 is a wasteful number, since it uses less digits than its factorization.

139763969664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16858 (or 16846 counting only the distinct ones).

The product of its digits is 238085568, while the sum is 69.

The spelling of 139763969664 in words is "one hundred thirty-nine billion, seven hundred sixty-three million, nine hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 2273 4224 4546 6819 9092 13638 14557 18184 25003 27276 29114 36368 43671 50006 54552 58228 72736 75009 87342 100012 109104 116456 145472 150018 160127 174684 200024 218208 232912 290944 300036 320254 349368 400048 436416 465824 480381 600072 640508 698736 800096 872832 931648 960762 1200144 1281016 1397472 1600192 1863296 1921524 2400288 2562032 2794944 3200384 3843048 4800576 5124064 5589888 7686096 9601152 10248128 15372192 20496256 30744384 33088061 61488768 66176122 99264183 132352244 198528366 264704488 363968671 397056732 529408976 727937342 794113464 1058817952 1091906013 1455874684 1588226928 2117635904 2183812026 2911749368 3176453856 4235271808 4367624052 5823498736 6352907712 8735248104 11646997472 12705815424 17470496208 23293994944 34940992416 46587989888 69881984832 139763969664