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20420555240412 = 2234234575996233
BaseRepresentation
bin1001010010010100001111…
…11100001111001111011100
32200022012000121100021120000
410221022013330033033130
510134032244120143122
6111233023520254300
74205223252415335
oct451120774171734
980265017307500
1020420555240412
116563344085828
122359782771390
13b5185b353512
1450850835b28c
152562bb1260ac
hex129287f0f3dc

20420555240412 has 120 divisors (see below), whose sum is σ = 55826281696416. Its totient is φ = 6496653537792.

The previous prime is 20420555240387. The next prime is 20420555240429. The reversal of 20420555240412 is 21404255502402.

20420555240412 is a `hidden beast` number, since 2 + 0 + 4 + 20 + 5 + 552 + 40 + 41 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 407448 + ... + 6403680.

Almost surely, 220420555240412 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 20420555240412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27913140848208).

20420555240412 is an abundant number, since it is smaller than the sum of its proper divisors (35405726456004).

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

20420555240412 is a wasteful number, since it uses less digits than its factorization.

20420555240412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5996729 (or 5996718 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 20420555240412 in words is "twenty trillion, four hundred twenty billion, five hundred fifty-five million, two hundred forty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 457 621 828 914 1242 1371 1828 1863 2484 2742 3726 4113 5484 7452 8226 10511 12339 16452 21022 24678 31533 37017 42044 49356 63066 74034 94599 126132 148068 189198 283797 378396 567594 851391 1135188 1702782 3405564 5996233 11992466 17988699 23984932 35977398 53966097 71954796 107932194 137913359 161898291 215864388 275826718 323796582 413740077 485694873 551653436 647593164 827480154 971389746 1241220231 1654960308 1942779492 2482440462 2740278481 3723660693 4964880924 5480556962 7447321386 8220835443 10961113924 11170982079 14894642772 16441670886 22341964158 24662506329 32883341772 44683928316 49325012658 63026405063 73987518987 98650025316 126052810126 147975037974 189079215189 221962556961 252105620252 295950075948 378158430378 443925113922 567237645567 756316860756 887850227844 1134475291134 1701712936701 2268950582268 3403425873402 5105138810103 6806851746804 10210277620206 20420555240412