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24430243748416 = 26112561672
BaseRepresentation
bin1011000111000000111000…
…00000000001101001000000
310012111111201200200011220221
411203200130000001221000
511200231114344422131
6123543033220512424
75101012133401462
oct543403400015100
9105444650604827
1024430243748416
117869898778900
1228a68b324b714
1310829ba44690c
146066042d8132
152c5747960411
hex16381c001a40

24430243748416 has 63 divisors (see below), whose sum is σ = 53287525070787. Its totient is φ = 11104458541440.

The previous prime is 24430243748389. The next prime is 24430243748501. The reversal of 24430243748416 is 61484734203442.

The square root of 24430243748416 is 4942696.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 434929165 + ... + 434985331.

Almost surely, 224430243748416 is an apocalyptic number.

24430243748416 is the 4942696-th square number.

It is an amenable number.

24430243748416 is an abundant number, since it is smaller than the sum of its proper divisors (28857281322371).

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

24430243748416 is an frugal number, since it uses more digits than its factorization.

24430243748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112368 (or 56180 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 52.

The spelling of 24430243748416 in words is "twenty-four trillion, four hundred thirty billion, two hundred forty-three million, seven hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 56167 112334 224668 449336 617837 898672 1235674 1797344 2471348 3594688 4942696 6796207 9885392 13592414 19770784 27184828 39541568 54369656 108739312 217478624 434957248 3154731889 6309463778 12618927556 25237855112 34702050779 50475710224 69404101558 100951420448 138808203116 201902840896 277616406232 381722558569 555232812464 763445117138 1110465624928 1526890234276 2220931249856 3053780468552 6107560937104 12215121874208 24430243748416