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5037488640 = 29325218641
BaseRepresentation
bin1001011000100000…
…11111101000000000
3111000001220221022100
410230100133220000
540304044114030
62151510510400
7235555642542
oct45420375000
914001827270
105037488640
112155592858
12b87065400
13623856312
1435b05d692
151e73ae360
hex12c41fa00

5037488640 has 120 divisors (see below), whose sum is σ = 17446319748. Its totient is φ = 1343324160.

The previous prime is 5037488629. The next prime is 5037488647. The reversal of 5037488640 is 468847305.

5037488640 is a `hidden beast` number, since 503 + 7 + 4 + 88 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4143239424 + 894249216 = 64368^2 + 29904^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (5037488647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86281 + ... + 132360.

Almost surely, 25037488640 is an apocalyptic number.

It is an amenable number.

5037488640 is an abundant number, since it is smaller than the sum of its proper divisors (12408831108).

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

5037488640 is a wasteful number, since it uses less digits than its factorization.

5037488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218670 (or 218651 counting only the distinct ones).

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

The square root of 5037488640 is about 70975.2678050601. The cubic root of 5037488640 is about 1714.2389549151.

The spelling of 5037488640 in words is "five billion, thirty-seven million, four hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 218641 437282 655923 874564 1093205 1311846 1749128 1967769 2186410 2623692 3279615 3498256 3935538 4372820 5247384 6559230 6996512 7871076 8745640 9838845 10494768 13118460 13993024 15742152 17491280 19677690 20989536 26236920 27986048 31484304 34982560 39355380 41979072 52473840 55972096 62968608 69965120 78710760 83958144 104947680 111944192 125937216 139930240 157421520 167916288 209895360 251874432 279860480 314843040 335832576 419790720 503748864 559720960 629686080 839581440 1007497728 1259372160 1679162880 2518744320 5037488640