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4753218096 = 2432113196799
BaseRepresentation
bin1000110110101000…
…00101101000110000
3110021021000111102200
410123110011220300
534213310434341
62103353543200
7225534454464
oct43324055060
913237014380
104753218096
11201a082120
12b07a14b00
135a99a4bb3
143313c24a4
151cc45adb6
hex11b505a30

4753218096 has 120 divisors (see below), whose sum is σ = 14979993600. Its totient is φ = 1393891200.

The previous prime is 4753218079. The next prime is 4753218137. The reversal of 4753218096 is 6908123574.

4753218096 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

4753218096 is strictly pandigital in base 10.

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 23 ways as a sum of consecutive naturals, for example, 705 + ... + 97503.

It is an arithmetic number, because the mean of its divisors is an integer number (124833280).

It is a 1-persistent number, because it is pandigital, but 2⋅4753218096 = 9506436192 is not.

Almost surely, 24753218096 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 4753218096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489996800).

4753218096 is an abundant number, since it is smaller than the sum of its proper divisors (10226775504).

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

4753218096 is a wasteful number, since it uses less digits than its factorization.

4753218096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96855 (or 96846 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4753218096 is about 68943.5863296942. The cubic root of 4753218096 is about 1681.3672373371.

The spelling of 4753218096 in words is "four billion, seven hundred fifty-three million, two hundred eighteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 24552 49104 96799 193598 290397 387196 580794 774392 871191 1064789 1161588 1548784 1742382 2129578 2323176 3000769 3194367 3484764 4259156 4646352 6001538 6388734 6969528 8518312 9002307 9583101 12003076 12777468 13939056 17036624 18004614 19166202 24006152 25554936 27006921 33008459 36009228 38332404 48012304 51109872 54013842 66016918 72018456 76664808 99025377 108027684 132033836 144036912 153329616 198050754 216055368 264067672 297076131 396101508 432110736 528135344 594152262 792203016 1188304524 1584406032 2376609048 4753218096