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4514545664 = 215311443
BaseRepresentation
bin1000011010001011…
…01000000000000000
3102122121220200101222
410031011220000000
533221210430124
62023550214212
7216606001466
oct41505500000
912577820358
104514545664
111a07385a82
12a5bab4368
1356c3ca3c5
1430b814836
151b651325e
hex10d168000

4514545664 has 64 divisors (see below), whose sum is σ = 9078432480. Its totient is φ = 2244935680.

The previous prime is 4514545663. The next prime is 4514545691. The reversal of 4514545664 is 4665454154.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×45145456642 = 40762245104682401792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4514545663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10190627 + ... + 10191069.

Almost surely, 24514545664 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 4514545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539216240).

4514545664 is an abundant number, since it is smaller than the sum of its proper divisors (4563886816).

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

4514545664 is an frugal number, since it uses more digits than its factorization.

4514545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 756 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 44.

The square root of 4514545664 is about 67190.3688336357. The cubic root of 4514545664 is about 1652.7405528984.

It can be divided in two parts, 45145 and 45664, that added together give a palindrome (90809).

The spelling of 4514545664 in words is "four billion, five hundred fourteen million, five hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 311 443 512 622 886 1024 1244 1772 2048 2488 3544 4096 4976 7088 8192 9952 14176 16384 19904 28352 32768 39808 56704 79616 113408 137773 159232 226816 275546 318464 453632 551092 636928 907264 1102184 1273856 1814528 2204368 2547712 3629056 4408736 5095424 7258112 8817472 10190848 14516224 17634944 35269888 70539776 141079552 282159104 564318208 1128636416 2257272832 4514545664