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20621621106 = 23223173499577
BaseRepresentation
bin10011001101001001…
…001111011101110010
31222020011012220002200
4103031021033131302
5314213113333411
613250132524030
71330010613222
oct231511173562
958204186080
1020621621106
118822405179
123bb6180616
131c38403788
14dd8a9a082
1580a609e56
hex4cd24f772

20621621106 has 96 divisors (see below), whose sum is σ = 47067696000. Its totient is φ = 6512596992.

The previous prime is 20621621099. The next prime is 20621621113. The reversal of 20621621106 is 60112612602.

20621621106 is a `hidden beast` number, since 2 + 0 + 6 + 21 + 621 + 10 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (20621621099) and next prime (20621621113).

It is a self number, because there is not a number n which added to its sum of digits gives 20621621106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35739090 + ... + 35739666.

It is an arithmetic number, because the mean of its divisors is an integer number (490288500).

Almost surely, 220621621106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20621621106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533848000).

20621621106 is an abundant number, since it is smaller than the sum of its proper divisors (26446074894).

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

20621621106 is a wasteful number, since it uses less digits than its factorization.

20621621106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20621621106 in words is "twenty billion, six hundred twenty-one million, six hundred twenty-one thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 173 207 346 414 499 519 577 998 1038 1154 1497 1557 1731 2994 3114 3462 3979 4491 5193 7958 8982 10386 11477 11937 13271 22954 23874 26542 34431 35811 39813 68862 71622 79626 86327 99821 103293 119439 172654 199642 206586 238878 258981 287923 299463 517962 575846 598926 776943 863769 898389 1553886 1727538 1796778 1985521 2295883 2591307 3971042 4591766 5182614 5956563 6622229 6887649 11913126 13244458 13775298 17869689 19866687 20662947 35739378 39733374 41325894 49810679 59600061 99621358 119200122 149432037 298864074 448296111 896592222 1145645617 2291291234 3436936851 6873873702 10310810553 20621621106