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21438283412 = 227313292459
BaseRepresentation
bin10011111101110100…
…100011111010010100
32001100001220122011202
4103331310203322110
5322401200032122
613503144452032
71356155255000
oct237564437224
961301818152
1021438283412
1191013966a7
1241a377a018
13203866b800
141075321700
15857173e92
hex4fdd23e94

21438283412 has 72 divisors (see below), whose sum is σ = 47376504000. Its totient is φ = 8480987424.

The previous prime is 21438283369. The next prime is 21438283441.

It is a happy number.

21438283412 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185639 + ... + 278097.

It is an arithmetic number, because the mean of its divisors is an integer number (658007000).

Almost surely, 221438283412 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 21438283412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23688252000).

21438283412 is an abundant number, since it is smaller than the sum of its proper divisors (25938220588).

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

21438283412 is a wasteful number, since it uses less digits than its factorization.

21438283412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92510 (or 92481 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The spelling of 21438283412 in words is "twenty-one billion, four hundred thirty-eight million, two hundred eighty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 343 364 637 676 686 1183 1274 1372 2366 2548 4459 4732 8281 8918 16562 17836 33124 57967 92459 115934 184918 231868 369836 647213 1201967 1294426 2403934 2588852 4530491 4807868 8413769 9060982 15625571 16827538 18121964 31251142 31713437 33655076 58896383 62502284 63426874 109378997 117792766 126853748 218757994 235585532 412274681 437515988 765652979 824549362 1531305958 1649098724 3062611916 5359570853 10719141706 21438283412