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21834116388 = 2232731768231
BaseRepresentation
bin10100010101011010…
…100010110100100100
32002100122202000221100
4110111122202310210
5324204013211023
614010324520100
71402032633000
oct242532426444
962318660840
1021834116388
119294875897
124294250030
13209c6814c6
1410b1b1d700
1587bcb2c43
hex5156a2d24

21834116388 has 72 divisors (see below), whose sum is σ = 64363644800. Its totient is φ = 6238315440.

The previous prime is 21834116387. The next prime is 21834116389. The reversal of 21834116388 is 88361143812.

21834116388 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 4 + 1 + 1 + 638 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (21834116387) and next prime (21834116389).

It is not an unprimeable number, because it can be changed into a prime (21834116383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 871768 + ... + 896463.

Almost surely, 221834116388 is an apocalyptic number.

21834116388 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21834116388 is an abundant number, since it is smaller than the sum of its proper divisors (42529528412).

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

21834116388 is a wasteful number, since it uses less digits than its factorization.

21834116388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768262 (or 1768243 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 21834116388 in words is "twenty-one billion, eight hundred thirty-four million, one hundred sixteen thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 1768231 3536462 5304693 7072924 10609386 12377617 15914079 21218772 24755234 31828158 37132851 49510468 63656316 74265702 86643319 111398553 148531404 173286638 222797106 259929957 346573276 445594212 519859914 606503233 779789871 1039719828 1213006466 1559579742 1819509699 2426012932 3119159484 3639019398 5458529097 7278038796 10917058194 21834116388