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20811107436 = 22371933738693
BaseRepresentation
bin10011011000011100…
…000100110001101100
31222201100202210110220
4103120130010301230
5320110120414221
613321022131340
71334501331420
oct233034046154
958640683426
1020811107436
11890a367049
124049720b50
131c68749472
141015d02b80
1581c0890c6
hex4d8704c6c

20811107436 has 96 divisors (see below), whose sum is σ = 58592002560. Its totient is φ = 5616221184.

The previous prime is 20811107389. The next prime is 20811107441. The reversal of 20811107436 is 63470111802.

It is a junction number, because it is equal to n+sod(n) for n = 20811107397 and 20811107406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518506 + ... + 557198.

It is an arithmetic number, because the mean of its divisors is an integer number (610333360).

Almost surely, 220811107436 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 20811107436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29296001280).

20811107436 is an abundant number, since it is smaller than the sum of its proper divisors (37780895124).

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

20811107436 is a wasteful number, since it uses less digits than its factorization.

20811107436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39063 (or 39061 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 20811107436 in words is "twenty billion, eight hundred eleven million, one hundred seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 337 399 532 674 798 1011 1348 1596 2022 2359 4044 4718 6403 7077 9436 12806 14154 19209 25612 28308 38418 38693 44821 76836 77386 89642 116079 134463 154772 179284 232158 268926 270851 464316 537852 541702 735167 812553 1083404 1470334 1625106 2205501 2940668 3250212 4411002 5146169 8822004 10292338 13039541 15438507 20584676 26079082 30877014 39118623 52158164 61754028 78237246 91276787 156474492 182553574 247751279 273830361 365107148 495502558 547660722 743253837 991005116 1095321444 1486507674 1734258953 2973015348 3468517906 5202776859 6937035812 10405553718 20811107436