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4561103072 = 253773113467
BaseRepresentation
bin1000011111101110…
…01110100011100000
3102202212112001011102
410033313032203200
533320120244242
62032332133532
7221012510411
oct41767164340
912685461142
104561103072
111a30695279
12a736072a8
13578c4b876
14313a93808
151ba65ce32
hex10fdce8e0

4561103072 has 96 divisors (see below), whose sum is σ = 9451626912. Its totient is φ = 2164506624.

The previous prime is 4561103059. The next prime is 4561103081. The reversal of 4561103072 is 2703011654.

It is a super-2 number, since 2×45611030722 = 41607322466815674368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9766583 + ... + 9767049.

It is an arithmetic number, because the mean of its divisors is an integer number (98454447).

Almost surely, 24561103072 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 4561103072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725813456).

4561103072 is an abundant number, since it is smaller than the sum of its proper divisors (4890523840).

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

4561103072 is a wasteful number, since it uses less digits than its factorization.

4561103072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 4561103072 is about 67535.9391139266. The cubic root of 4561103072 is about 1658.4025703058.

The spelling of 4561103072 in words is "four billion, five hundred sixty-one million, one hundred three thousand, seventy-two".

Divisors: 1 2 4 8 16 32 37 73 74 113 146 148 226 292 296 452 467 584 592 904 934 1168 1184 1808 1868 2336 2701 3616 3736 4181 5402 7472 8249 8362 10804 14944 16498 16724 17279 21608 32996 33448 34091 34558 43216 52771 65992 66896 68182 69116 86432 105542 131984 133792 136364 138232 211084 263968 272728 276464 305213 422168 545456 552928 610426 844336 1090912 1220852 1261367 1688672 1952527 2441704 2522734 3852283 3905054 4883408 5045468 7704566 7810108 9766816 10090936 15409132 15620216 20181872 30818264 31240432 40363744 61636528 62480864 123273056 142534471 285068942 570137884 1140275768 2280551536 4561103072