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4529716664 = 2311436611811
BaseRepresentation
bin1000011011111110…
…11111110110111000
3102200200110110002212
410031333133312320
533234101413124
62025251314252
7220151646014
oct41577376670
912620413085
104529716664
111a149a81a0
12a64bab988
135725ac825
1430d843544
151b7a0d40e
hex10dfdfdb8

4529716664 has 64 divisors (see below), whose sum is σ = 9500388480. Its totient is φ = 2006928000.

The previous prime is 4529716643. The next prime is 4529716721. The reversal of 4529716664 is 4666179254.

It is a super-2 number, since 2×45297166642 = 41036666112238577792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500319 + ... + 2502129.

It is an arithmetic number, because the mean of its divisors is an integer number (148443570).

Almost surely, 24529716664 is an apocalyptic number.

4529716664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4529716664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750194240).

4529716664 is an abundant number, since it is smaller than the sum of its proper divisors (4970671816).

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

4529716664 is a wasteful number, since it uses less digits than its factorization.

4529716664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2528 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 50.

The square root of 4529716664 is about 67303.1697916227. The cubic root of 4529716664 is about 1654.5898119083.

The spelling of 4529716664 in words is "four billion, five hundred twenty-nine million, seven hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 661 946 1322 1811 1892 2644 3622 3784 5288 7244 7271 14488 14542 19921 28423 29084 39842 56846 58168 77873 79684 113692 155746 159368 227384 311492 312653 622984 625306 856603 1197071 1250612 1713206 2394142 2501224 3426412 4788284 6852824 9576568 13167781 26335562 51474053 52671124 102948106 105342248 205896212 411792424 566214583 1132429166 2264858332 4529716664