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4517468640 = 2532523136397
BaseRepresentation
bin1000011010100001…
…10001100111100000
3102122211102011222100
410031100301213200
533222432444030
62024133010400
7216642564336
oct41520614740
912584364870
104517468640
111a08aa2063
12a60a83a00
1356cbb1989
1430bd75b56
151b68de360
hex10d4319e0

4517468640 has 144 divisors (see below), whose sum is σ = 16086234528. Its totient is φ = 1152273408.

The previous prime is 4517468623. The next prime is 4517468647. The reversal of 4517468640 is 468647154.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4517468647) 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 23 ways as a sum of consecutive naturals, for example, 35079 + ... + 101318.

It is an arithmetic number, because the mean of its divisors is an integer number (111709962).

Almost surely, 24517468640 is an apocalyptic number.

4517468640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4517468640 is an abundant number, since it is smaller than the sum of its proper divisors (11568765888).

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

4517468640 is a wasteful number, since it uses less digits than its factorization.

4517468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136441 (or 136430 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4517468640 is about 67212.1167647620. The cubic root of 4517468640 is about 1653.0971689789.

The spelling of 4517468640 in words is "four billion, five hundred seventeen million, four hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16560 33120 136397 272794 409191 545588 681985 818382 1091176 1227573 1363970 1636764 2045955 2182352 2455146 2727940 3137131 3273528 4091910 4364704 4910292 5455880 6137865 6274262 6547056 8183820 9411393 9820584 10911760 12275730 12548524 13094112 15685655 16367640 18822786 19641168 21823520 24551460 25097048 28234179 31371310 32735280 37645572 39282336 47056965 49102920 50194096 56468358 62742620 65470560 75291144 94113930 98205840 100388192 112936716 125485240 141170895 150582288 188227860 196411680 225873432 250970480 282341790 301164576 376455720 451746864 501940960 564683580 752911440 903493728 1129367160 1505822880 2258734320 4517468640