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20132611620 = 223511223120569
BaseRepresentation
bin10010101111111111…
…110100011000100100
31220222002001122012020
4102233333310120210
5312212422032440
613125423423140
71311622242462
oct225777643044
956862048166
1020132611620
1185a1375100
123a9a454ab0
131b8acc9054
14d8db65832
157cc7133d0
hex4afff4624

20132611620 has 144 divisors (see below), whose sum is σ = 64656385920. Its totient is φ = 4668392960.

The previous prime is 20132611619. The next prime is 20132611637. The reversal of 20132611620 is 2611623102.

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, 106696 + ... + 227264.

It is an arithmetic number, because the mean of its divisors is an integer number (449002680).

Almost surely, 220132611620 is an apocalyptic number.

20132611620 is a gapful number since it is divisible by the number (20) 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 20132611620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32328192960).

20132611620 is an abundant number, since it is smaller than the sum of its proper divisors (44523774300).

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

20132611620 is a wasteful number, since it uses less digits than its factorization.

20132611620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120626 (or 120613 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 20132611620 in words is "twenty billion, one hundred thirty-two million, six hundred eleven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 121 132 138 165 220 230 242 253 276 330 345 363 460 484 506 605 660 690 726 759 1012 1210 1265 1380 1452 1518 1815 2420 2530 2783 3036 3630 3795 5060 5566 7260 7590 8349 11132 13915 15180 16698 27830 33396 41745 55660 83490 120569 166980 241138 361707 482276 602845 723414 1205690 1326259 1446828 1808535 2411380 2652518 2773087 3617070 3978777 5305036 5546174 6631295 7234140 7957554 8319261 11092348 13262590 13865435 14588849 15915108 16638522 19893885 26525180 27730870 29177698 30503957 33277044 39787770 41596305 43766547 55461740 58355396 61007914 72944245 79575540 83192610 87533094 91511871 122015828 145888490 152519785 166385220 175066188 183023742 218832735 291776980 305039570 335543527 366047484 437665470 457559355 610079140 671087054 875330940 915118710 1006630581 1342174108 1677717635 1830237420 2013261162 3355435270 4026522324 5033152905 6710870540 10066305810 20132611620