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9426079744 = 212372412
BaseRepresentation
bin10001100011101011…
…01001000000000000
3220022220211110112121
420301311221000000
5123301034022434
64155201334024
7452405233024
oct106165510000
926286743477
109426079744
113aa785a254
1219b0937314
13b72b233a3
14655c48384
153a27e27b4
hex231d69000

9426079744 has 117 divisors (see below), whose sum is σ = 19857121851. Its totient is φ = 4473815040.

The previous prime is 9426079723. The next prime is 9426079771. The reversal of 9426079744 is 4479706249.

The square root of 9426079744 is 97088.

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

It can be written as a sum of positive squares in 4 ways, for example, as 111513600 + 9314566144 = 10560^2 + 96512^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9426079691 and 9426079700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 229904364 + ... + 229904404.

Almost surely, 29426079744 is an apocalyptic number.

9426079744 is the 97088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9426079744

9426079744 is an abundant number, since it is smaller than the sum of its proper divisors (10431042107).

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

9426079744 is an frugal number, since it uses more digits than its factorization.

9426079744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The cubic root of 9426079744 is about 2112.4042691070.

The spelling of 9426079744 in words is "nine billion, four hundred twenty-six million, seventy-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 148 164 256 296 328 512 592 656 1024 1184 1312 1369 1517 1681 2048 2368 2624 2738 3034 3362 4096 4736 5248 5476 6068 6724 9472 10496 10952 12136 13448 18944 20992 21904 24272 26896 37888 41984 43808 48544 53792 56129 62197 75776 83968 87616 97088 107584 112258 124394 151552 167936 175232 194176 215168 224516 248788 350464 388352 430336 449032 497576 700928 776704 860672 898064 995152 1401856 1553408 1721344 1796128 1990304 2301289 2803712 3106816 3442688 3592256 3980608 4602578 5607424 6213632 6885376 7184512 7961216 9205156 14369024 15922432 18410312 28738048 31844864 36820624 57476096 63689728 73641248 114952192 127379456 147282496 229904384 254758912 294564992 589129984 1178259968 2356519936 4713039872 9426079744