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4503484416 = 21131743117
BaseRepresentation
bin1000011000110110…
…11011100000000000
3102121212002201020010
410030123123200000
533210343000131
62022513144520
7216412662114
oct41433334000
912555081203
104503484416
111a01110552
12a5825b140
1356a0267a2
1430a175744
151b557ab46
hex10c6db800

4503484416 has 96 divisors (see below), whose sum is σ = 12712911120. Its totient is φ = 1412825088.

The previous prime is 4503484369. The next prime is 4503484417. The reversal of 4503484416 is 6144843054.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45034844162 = 40562743770309722112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4503484417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82890 + ... + 126006.

Almost surely, 24503484416 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 4503484416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6356455560).

4503484416 is an abundant number, since it is smaller than the sum of its proper divisors (8209426704).

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

4503484416 is a wasteful number, since it uses less digits than its factorization.

4503484416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43159 (or 43139 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 4503484416 is about 67108.0056029085. The cubic root of 4503484416 is about 1651.3896362933.

The spelling of 4503484416 in words is "four billion, five hundred three million, four hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4352 6144 6528 8704 13056 17408 26112 34816 43117 52224 86234 104448 129351 172468 258702 344936 517404 689872 732989 1034808 1379744 1465978 2069616 2198967 2759488 2931956 4139232 4397934 5518976 5863912 8278464 8795868 11037952 11727824 16556928 17591736 22075904 23455648 33113856 35183472 44151808 46911296 66227712 70366944 88303616 93822592 132455424 140733888 187645184 264910848 281467776 375290368 562935552 750580736 1125871104 1501161472 2251742208 4503484416