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21003836292 = 22321925772801
BaseRepresentation
bin10011100011111011…
…010001101110000100
32000012210102102202200
4103203323101232010
5321003440230132
613352105034500
71342331443215
oct234373215604
960183372680
1021003836292
1189a913309a
1240a2185a30
131c99658cca
14103375140c
1582de58d7c
hex4e3ed1b84

21003836292 has 108 divisors (see below), whose sum is σ = 56151626076. Its totient is φ = 6618931200.

The previous prime is 21003836263. The next prime is 21003836297. The reversal of 21003836292 is 29263830012.

21003836292 is a `hidden beast` number, since 21 + 0 + 0 + 3 + 8 + 3 + 629 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17367022656 + 3636813636 = 131784^2 + 60306^2 .

It is a super-2 number, since 2×210038362922 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21003836297) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7497292 + ... + 7500092.

Almost surely, 221003836292 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 21003836292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28075813038).

21003836292 is an abundant number, since it is smaller than the sum of its proper divisors (35147789784).

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

21003836292 is a wasteful number, since it uses less digits than its factorization.

21003836292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21003836292 in words is "twenty-one billion, three million, eight hundred thirty-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 577 684 722 1083 1154 1444 1731 2166 2308 2801 3249 3462 4332 5193 5602 6498 6924 8403 10386 10963 11204 12996 16806 20772 21926 25209 32889 33612 43852 50418 53219 65778 98667 100836 106438 131556 159657 197334 208297 212876 319314 394668 416594 478971 624891 638628 833188 957942 1011161 1249782 1616177 1874673 1915884 2022322 2499564 3033483 3232354 3749346 4044644 4848531 6066966 6464708 7498692 9100449 9697062 12133932 14545593 18200898 19394124 29091186 30707363 36401796 58182372 61414726 92122089 122829452 184244178 276366267 368488356 552732534 583439897 1105465068 1166879794 1750319691 2333759588 3500639382 5250959073 7001278764 10501918146 21003836292