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20150555505102 = 232113717591563703
BaseRepresentation
bin1001001010011101010101…
…01100111111000111001110
32122100101002212012121021100
410211032222230333013032
510120121314202130402
6110505012025043530
74146554356503351
oct445165254770716
978311085177240
1020150555505102
116469891293410
1223153903265a6
13b3225c980329
144d94136d2298
1524e2675e471c
hex1253aab3f1ce

20150555505102 has 96 divisors (see below), whose sum is σ = 48943685007360. Its totient is φ = 5937814330560.

The previous prime is 20150555505097. The next prime is 20150555505149.

20150555505102 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 0 + 55 + 550 + 51 + 0 + 2 = 666.

20150555505102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12104583 + ... + 13668285.

It is an arithmetic number, because the mean of its divisors is an integer number (509830052160).

Almost surely, 220150555505102 is an apocalyptic number.

20150555505102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20150555505102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24471842503680).

20150555505102 is an abundant number, since it is smaller than the sum of its proper divisors (28793129502258).

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

20150555505102 is a wasteful number, since it uses less digits than its factorization.

20150555505102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565518 (or 1565515 counting only the distinct ones).

The product of its (nonzero) digits is 62500, while the sum is 36.

The spelling of 20150555505102 in words is "twenty trillion, one hundred fifty billion, five hundred fifty-five million, five hundred five thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 1759 2442 3518 3663 5277 7326 10554 15831 19349 31662 38698 58047 65083 116094 130166 174141 195249 348282 390498 585747 715913 1171494 1431826 1563703 2147739 3127406 4295478 4691109 6443217 9382218 12886434 14073327 17200733 28146654 34401466 51602199 57857011 103204398 115714022 154806597 173571033 309613194 347142066 520713099 636427121 1041426198 1272854242 1909281363 2750553577 3818562726 5501107154 5727844089 8251660731 11455688178 16503321462 24754982193 30256089347 49509964386 60512178694 90768268041 101770482349 181536536082 203540964698 272304804123 305311447047 544609608246 610622894094 915934341141 1119475305839 1831868682282 2238950611678 3358425917517 6716851835034 10075277752551 20150555505102