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21344762772 = 223223348731
BaseRepresentation
bin10011111000001111…
…110011101110010100
32001002112221021222100
4103320033303232110
5322203224402042
613450004202100
71353641330034
oct237017635624
961075837870
1021344762772
119063620213
124178399330
132022186258
141066b398c4
1584dd4e24c
hex4f83f3b94

21344762772 has 72 divisors (see below), whose sum is σ = 56408264640. Its totient is φ = 6805436880.

The previous prime is 21344762741. The next prime is 21344762807. The reversal of 21344762772 is 27726744312.

21344762772 is a `hidden beast` number, since 2 + 13 + 4 + 4 + 7 + 627 + 7 + 2 = 666.

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, 413647 + ... + 462377.

It is an arithmetic number, because the mean of its divisors is an integer number (783448120).

Almost surely, 221344762772 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 21344762772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28204132320).

21344762772 is an abundant number, since it is smaller than the sum of its proper divisors (35063501868).

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

21344762772 is a wasteful number, since it uses less digits than its factorization.

21344762772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48810 (or 48759 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The spelling of 21344762772 in words is "twenty-one billion, three hundred forty-four million, seven hundred sixty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 12167 19044 24334 36501 48668 48731 73002 97462 109503 146004 146193 194924 219006 292386 438012 438579 584772 877158 1120813 1754316 2241626 3362439 4483252 6724878 10087317 13449756 20174634 25778699 40349268 51557398 77336097 103114796 154672194 232008291 309344388 464016582 592910077 928033164 1185820154 1778730231 2371640308 3557460462 5336190693 7114920924 10672381386 21344762772