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87240324480 = 273545437669
BaseRepresentation
bin101000100111111101…
…1011011010110000000
322100011221001122222220
41101033323123112000
52412132010340410
6104024434531040
76205616344221
oct1211773332600
9270157048886
1087240324480
1133aa8986021
1214aa8736a80
1382c417349a
1443185b3248
152408e5a070
hex144fedb580

87240324480 has 64 divisors (see below), whose sum is σ = 278078540400. Its totient is φ = 23264086016.

The previous prime is 87240324473. The next prime is 87240324491. The reversal of 87240324480 is 8442304278.

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

It is a super-2 number, since 2×872403244802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22716915 + ... + 22720754.

Almost surely, 287240324480 is an apocalyptic number.

87240324480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87240324480 is an abundant number, since it is smaller than the sum of its proper divisors (190838215920).

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

87240324480 is a wasteful number, since it uses less digits than its factorization.

87240324480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45437691 (or 45437679 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 87240324480 in words is "eighty-seven billion, two hundred forty million, three hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 45437669 90875338 136313007 181750676 227188345 272626014 363501352 454376690 545252028 681565035 727002704 908753380 1090504056 1363130070 1454005408 1817506760 2181008112 2726260140 2908010816 3635013520 4362016224 5452520280 5816021632 7270027040 8724032448 10905040560 14540054080 17448064896 21810081120 29080108160 43620162240 87240324480