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21180698742 = 2372193979551
BaseRepresentation
bin10011101110011101…
…111101000001110110
32000200010012222102210
4103232131331001312
5321334224324432
613421423514250
71346606653200
oct235635750166
960603188383
1021180698742
118a89a52505
124131458986
131cc71a1a48
14104d02d770
1583e7428cc
hex4ee77d076

21180698742 has 96 divisors (see below), whose sum is σ = 52007201280. Its totient is φ = 5718081600.

The previous prime is 21180698741. The next prime is 21180698839. The reversal of 21180698742 is 24789608112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21180698691 and 21180698700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21180698741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2212867 + ... + 2222417.

It is an arithmetic number, because the mean of its divisors is an integer number (541741680).

Almost surely, 221180698742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21180698742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26003600640).

21180698742 is an abundant number, since it is smaller than the sum of its proper divisors (30826502538).

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

21180698742 is a wasteful number, since it uses less digits than its factorization.

21180698742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 21180698742 in words is "twenty-one billion, one hundred eighty million, six hundred ninety-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 397 399 794 798 931 1191 1862 2382 2779 2793 5558 5586 7543 8337 9551 15086 16674 19102 19453 22629 28653 38906 45258 52801 57306 58359 66857 105602 116718 133714 158403 181469 200571 316806 362938 369607 401142 467999 544407 739214 935998 1088814 1108821 1270283 1403997 2217642 2540566 2807994 3791747 3810849 7583494 7621698 8891981 11375241 17783962 22750482 26542229 26675943 53084458 53351886 72043193 79626687 144086386 159253374 185795603 216129579 371591206 432259158 504302351 557386809 1008604702 1114773618 1512907053 3025814106 3530116457 7060232914 10590349371 21180698742