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20155606536 = 2331323125171
BaseRepresentation
bin10010110001010111…
…100010011000001000
31221000200022220021210
4102301113202120020
5312234313402121
613132004333120
71312321554162
oct226127423010
957020286253
1020155606536
11860335056a
123aa60a41a0
131b929ba700
14d92c2d932
157ce756876
hex4b15e2608

20155606536 has 144 divisors (see below), whose sum is σ = 56391040080. Its totient is φ = 6000508800.

The previous prime is 20155606511. The next prime is 20155606547. The reversal of 20155606536 is 63560655102.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 20155606494 and 20155606503.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3895231 + ... + 3900401.

It is an arithmetic number, because the mean of its divisors is an integer number (391604445).

Almost surely, 220155606536 is an apocalyptic number.

20155606536 is a gapful number since it is divisible by the number (26) 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 20155606536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28195520040).

20155606536 is an abundant number, since it is smaller than the sum of its proper divisors (36235433544).

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

20155606536 is a wasteful number, since it uses less digits than its factorization.

20155606536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5268 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 20155606536 in words is "twenty billion, one hundred fifty-five million, six hundred six thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 312 338 372 403 507 676 744 806 961 1014 1209 1352 1612 1922 2028 2418 2883 3224 3844 4056 4836 5171 5239 5766 7688 9672 10342 10478 11532 12493 15513 15717 20684 20956 23064 24986 31026 31434 37479 41368 41912 49972 62052 62868 67223 74958 99944 124104 125736 134446 149916 160301 162409 201669 268892 299832 320602 324818 403338 480903 487227 537784 641204 649636 806676 873899 961806 974454 1282408 1299272 1613352 1747798 1923612 1948908 2083913 2621697 3495596 3847224 3897816 4167826 4969331 5243394 6251739 6991192 8335652 9938662 10486788 12503478 14907993 16671304 19877324 20973576 25006956 27090869 29815986 39754648 50013912 54181738 59631972 64601303 81272607 108363476 119263944 129202606 162545214 193803909 216726952 258405212 325090428 387607818 516810424 650180856 775215636 839816939 1550431272 1679633878 2519450817 3359267756 5038901634 6718535512 10077803268 20155606536