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9416373444 = 22385992
BaseRepresentation
bin10001100010100001…
…00111010011000100
3220022020120100000000
420301100213103010
5123241042422234
64154213321300
7452226565542
oct106120472304
926266510000
109416373444
113aa232a815
1219a9636230
13b70b0540a
1465483cd92
153a1a26899
hex2314274c4

9416373444 has 81 divisors (see below), whose sum is σ = 24758056687. Its totient is φ = 3133551096.

The previous prime is 9416373433. The next prime is 9416373451. The reversal of 9416373444 is 4443736149.

The square root of 9416373444 is 97038.

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

9416373444 is a `hidden beast` number, since 9 + 4 + 1 + 637 + 3 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×94163734442 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9416373444.

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 26 ways as a sum of consecutive naturals, for example, 15719857 + ... + 15720455.

Almost surely, 29416373444 is an apocalyptic number.

9416373444 is the 97038-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9416373444

9416373444 is an abundant number, since it is smaller than the sum of its proper divisors (15341683243).

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

9416373444 is an frugal number, since it uses more digits than its factorization.

9416373444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 604 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The cubic root of 9416373444 is about 2111.6789526848.

The spelling of 9416373444 in words is "nine billion, four hundred sixteen million, three hundred seventy-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 599 729 972 1198 1458 1797 2187 2396 2916 3594 4374 5391 6561 7188 8748 10782 13122 16173 21564 26244 32346 48519 64692 97038 145557 194076 291114 358801 436671 582228 717602 873342 1076403 1310013 1435204 1746684 2152806 2620026 3229209 3930039 4305612 5240052 6458418 7860078 9687627 12916836 15720156 19375254 29062881 38750508 58125762 87188643 116251524 174377286 261565929 348754572 523131858 784697787 1046263716 1569395574 2354093361 3138791148 4708186722 9416373444