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4453414464 = 263295315091
BaseRepresentation
bin1000010010111000…
…11011011001000000
3102111100212220011110
410021130123121000
533110033230324
62013524043320
7215234253432
oct41134333100
912440786143
104453414464
111985922224
12a43533540
1355c8455b5
14303660652
151b0e8a329
hex10971b640

4453414464 has 112 divisors (see below), whose sum is σ = 12420112320. Its totient is φ = 1406146560.

The previous prime is 4453414463. The next prime is 4453414489. The reversal of 4453414464 is 4644143544.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4453414463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 287559 + ... + 302649.

It is an arithmetic number, because the mean of its divisors is an integer number (110893860).

Almost surely, 24453414464 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 4453414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210056160).

4453414464 is an abundant number, since it is smaller than the sum of its proper divisors (7966697856).

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

4453414464 is a wasteful number, since it uses less digits than its factorization.

4453414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15188 (or 15178 counting only the distinct ones).

The product of its digits is 368640, while the sum is 39.

The square root of 4453414464 is about 66733.9079029544. The cubic root of 4453414464 is about 1645.2467381176.

The spelling of 4453414464 in words is "four billion, four hundred fifty-three million, four hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 64 87 96 106 116 159 174 192 212 232 318 348 424 464 636 696 848 928 1272 1392 1537 1696 1856 2544 2784 3074 3392 4611 5088 5568 6148 9222 10176 12296 15091 18444 24592 30182 36888 45273 49184 60364 73776 90546 98368 120728 147552 181092 241456 295104 362184 437639 482912 724368 799823 875278 965824 1312917 1448736 1599646 1750556 2399469 2625834 2897472 3199292 3501112 4798938 5251668 6398584 7002224 9597876 10503336 12797168 14004448 19195752 21006672 23194867 25594336 28008896 38391504 42013344 46389734 51188672 69584601 76783008 84026688 92779468 139169202 153566016 185558936 278338404 371117872 556676808 742235744 1113353616 1484471488 2226707232 4453414464