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20000696436 = 22327313976449
BaseRepresentation
bin10010101000001000…
…100110100001110100
31220121212211122120200
4102220020212201310
5311430134241221
613104352200500
71305431054220
oct225010464164
956555748520
1020000696436
118533965296
123a62239130
131b6988c926
14d7a427780
157c0d57426
hex4a8226874

20000696436 has 144 divisors (see below), whose sum is σ = 59803161600. Its totient is φ = 5515361280.

The previous prime is 20000696413. The next prime is 20000696461. The reversal of 20000696436 is 63469600002.

20000696436 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 6 + 9 + 643 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20000696436.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3098140 + ... + 3104588.

Almost surely, 220000696436 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 20000696436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29901580800).

20000696436 is an abundant number, since it is smaller than the sum of its proper divisors (39802465164).

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

20000696436 is a wasteful number, since it uses less digits than its factorization.

20000696436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6889 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 20000696436 in words is "twenty billion, six hundred ninety-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 397 434 558 651 794 868 1116 1191 1302 1588 1953 2382 2604 2779 3573 3906 4764 5558 6449 7146 7812 8337 11116 12307 12898 14292 16674 19347 24614 25011 25796 33348 36921 38694 45143 49228 50022 58041 73842 77388 86149 90286 100044 110763 116082 135429 147684 172298 180572 199919 221526 232164 258447 270858 344596 399838 406287 443052 516894 541716 599757 775341 799676 812574 1033788 1199514 1399433 1550682 1625148 1799271 2399028 2560253 2798866 3101364 3598542 4198299 5120506 5597732 7197084 7680759 8396598 10241012 12594897 15361518 16793196 17921771 23042277 25189794 30723036 35843542 46084554 50379588 53765313 71687084 79367843 92169108 107530626 158735686 161295939 215061252 238103529 317471372 322591878 476207058 555574901 645183756 714310587 952414116 1111149802 1428621174 1666724703 2222299604 2857242348 3333449406 5000174109 6666898812 10000348218 20000696436