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20706097896 = 233211213118143
BaseRepresentation
bin10011010010001011…
…011111101011101000
31222110001011202110200
4103102023133223220
5314401230113041
613302351312200
71332054633231
oct232213375350
958401152420
1020706097896
118866063900
12401a51b660
131c4ca70743
141005daa088
15812c451b6
hex4d22dfae8

20706097896 has 144 divisors (see below), whose sum is σ = 62114532480. Its totient is φ = 6226334400.

The previous prime is 20706097877. The next prime is 20706097901. The reversal of 20706097896 is 69879060702.

20706097896 is a `hidden beast` number, since 20 + 7 + 0 + 609 + 7 + 8 + 9 + 6 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1132201 + ... + 1150343.

It is an arithmetic number, because the mean of its divisors is an integer number (431350920).

Almost surely, 220706097896 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 20706097896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31057266240).

20706097896 is an abundant number, since it is smaller than the sum of its proper divisors (41408434584).

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

20706097896 is a wasteful number, since it uses less digits than its factorization.

20706097896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18308 (or 18290 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 20706097896 in words is "twenty billion, seven hundred six million, ninety-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 131 132 198 242 262 264 363 393 396 484 524 726 786 792 968 1048 1089 1179 1441 1452 1572 2178 2358 2882 2904 3144 4323 4356 4716 5764 8646 8712 9432 11528 12969 15851 17292 18143 25938 31702 34584 36286 47553 51876 54429 63404 72572 95106 103752 108858 126808 142659 145144 163287 190212 199573 217716 285318 326574 380424 399146 435432 570636 598719 653148 798292 1141272 1197438 1306296 1596584 1796157 2195303 2376733 2394876 3592314 4390606 4753466 4789752 6585909 7130199 7184628 8781212 9506932 13171818 14260398 14369256 17562424 19013864 19757727 21390597 26144063 26343636 28520796 39515454 42781194 52288126 52687272 57041592 78432189 79030908 85562388 104576252 156864378 158061816 171124776 209152504 235296567 287584693 313728756 470593134 575169386 627457512 862754079 941186268 1150338772 1725508158 1882372536 2300677544 2588262237 3451016316 5176524474 6902032632 10353048948 20706097896