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13455565020 = 22335241103393
BaseRepresentation
bin11001000100000001…
…11010000011011100
31021201202000112012000
430202000322003130
5210024111040040
610103103242300
7654304262352
oct144200720334
937652015160
1013455565020
115785352177
1227362a9390
1313658996c1
149190757d2
1553b43e130
hex32203a0dc

13455565020 has 96 divisors (see below), whose sum is σ = 42035864640. Its totient is φ = 3573227520.

The previous prime is 13455565009. The next prime is 13455565021. The reversal of 13455565020 is 2056555431.

13455565020 is a `hidden beast` number, since 1 + 34 + 5 + 556 + 50 + 20 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13455565021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78444 + ... + 181836.

It is an arithmetic number, because the mean of its divisors is an integer number (437873590).

Almost surely, 213455565020 is an apocalyptic number.

13455565020 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 13455565020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21017932320).

13455565020 is an abundant number, since it is smaller than the sum of its proper divisors (28580299620).

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

13455565020 is a wasteful number, since it uses less digits than its factorization.

13455565020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103652 (or 103644 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 13455565020 in words is "thirteen billion, four hundred fifty-five million, five hundred sixty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 241 270 482 540 723 964 1205 1446 2169 2410 2892 3615 4338 4820 6507 7230 8676 10845 13014 14460 21690 26028 32535 43380 65070 103393 130140 206786 310179 413572 516965 620358 930537 1033930 1240716 1550895 1861074 2067860 2791611 3101790 3722148 4652685 5583222 6203580 9305370 11166444 13958055 18610740 24917713 27916110 49835426 55832220 74753139 99670852 124588565 149506278 224259417 249177130 299012556 373765695 448518834 498354260 672778251 747531390 897037668 1121297085 1345556502 1495062780 2242594170 2691113004 3363891255 4485188340 6727782510 13455565020